Core CPU Benchmarks
- The linear solver is MUMPS for CPU experiments and CUDSS for GPU experiments.
- Below you can find Dolan–Moré performance profiles comparing solver–model combinations on the set of optimal control problems and grid sizes. For a detailed explanation of how to read these profiles, see the Performance Profiles page.
Ubuntu Latest
This benchmark suite evaluates optimal control problems on a standard CPU platform using GitHub Actions runners.
⚙️ Configuration
Problems: balanced_field, beam, brachistochrone, bryson_denham, chain, dielectrophoretic_particle, double_oscillator, ducted_fan, electric_vehicle, glider, insurance, jackson, mountain_car, robbins, robot, rocket, space_shuttle, steering, vanderpol
Solvers: ipopt, madnlp
Models: adnlp, exa, jump
Grid sizes: 200, 500, 1000 discretization points
Discretization: trapeze method
Tolerance: 1.0e-8
Ipopt strategy: adaptive barrier parameter
Limits: 1000 iterations max, 500.0s wall time
🖥️ Environment
📅 Timestamp : 2026-03-11 14:47:54 UTC
🔧 Julia version : 1.12.5
💻 OS : Linux
🖥️ Machine : runnervm0kj6cYou can download the exact environment used for this benchmark:
📦 Project.toml - Package dependencies
📋 Manifest.toml - Complete dependency tree with versions
📜 Benchmark script - Julia script to run the benchmark
These files allow you to reproduce the benchmark environment and results exactly.
Julia Version 1.12.5
Commit 5fe89b8ddc1 (2026-02-09 16:05 UTC)
Build Info:
Official https://julialang.org release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 4 × AMD EPYC 7763 64-Core Processor
WORD_SIZE: 64
LLVM: libLLVM-18.1.7 (ORCJIT, znver3)
GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 4 virtual cores)
Environment:
JULIA_PKG_SERVER_REGISTRY_PREFERENCE = eager Project CTBenchmarks v0.4.1
Status `~/work/CTBenchmarks.jl/CTBenchmarks.jl/Project.toml`
[6e4b80f9] BenchmarkTools v1.6.3
⌅ [54762871] CTBase v0.16.2
[052768ef] CUDA v5.10.1
[a93c6f00] DataFrames v1.8.1
[ffbed154] DocStringExtensions v0.9.5
[b6b21f68] Ipopt v1.14.1
[682c06a0] JSON v1.4.0
[4076af6c] JuMP v1.30.0
⌅ [d72a61cc] MadNLPGPU v0.7.18
[3b83494e] MadNLPMumps v0.5.1
[f4238b75] NLPModelsIpopt v0.11.2
[5f98b655] OptimalControl v1.1.6
[59046045] OptimalControlProblems v0.5.0
[91a5bcdd] Plots v1.41.6
[10745b16] Statistics v1.11.1
[bd369af6] Tables v1.12.1
[ade2ca70] Dates v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[44cfe95a] Pkg v1.12.1
[de0858da] Printf v1.11.0
[6462fe0b] Sockets v1.11.0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated` Project CTBenchmarks v0.4.1
Status `~/work/CTBenchmarks.jl/CTBenchmarks.jl/Manifest.toml`
[54578032] ADNLPModels v0.8.13
[47edcb42] ADTypes v1.21.0
[14f7f29c] AMD v0.5.3
[621f4979] AbstractFFTs v1.5.0
[79e6a3ab] Adapt v4.5.0
[66dad0bd] AliasTables v1.1.3
[a9b6321e] Atomix v1.1.2
[13072b0f] AxisAlgorithms v1.1.0
[ab4f0b2a] BFloat16s v0.6.1
[6e4b80f9] BenchmarkTools v1.6.3
[d1d4a3ce] BitFlags v0.1.9
[fa961155] CEnum v0.5.0
⌅ [54762871] CTBase v0.16.2
⌅ [790bbbee] CTDirect v0.17.4
⌃ [1c39547c] CTFlows v0.8.9
⌅ [34c4fa32] CTModels v0.6.9
⌅ [32681960] CTParser v0.7.2
[052768ef] CUDA v5.10.1
[1af6417a] CUDA_Runtime_Discovery v1.0.0
[45b445bb] CUDSS v0.6.7
[d360d2e6] ChainRulesCore v1.26.0
[523fee87] CodecBzip2 v0.8.5
[944b1d66] CodecZlib v0.7.8
[35d6a980] ColorSchemes v3.31.0
[3da002f7] ColorTypes v0.12.1
[c3611d14] ColorVectorSpace v0.11.0
[5ae59095] Colors v0.13.1
[38540f10] CommonSolve v0.2.6
[bbf7d656] CommonSubexpressions v0.3.1
[34da2185] Compat v4.18.1
[f0e56b4a] ConcurrentUtilities v2.5.1
[d38c429a] Contour v0.6.3
[a8cc5b0e] Crayons v4.1.1
[9a962f9c] DataAPI v1.16.0
[a93c6f00] DataFrames v1.8.1
[864edb3b] DataStructures v0.19.3
[e2d170a0] DataValueInterfaces v1.0.0
[8bb1440f] DelimitedFiles v1.9.1
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[ffbed154] DocStringExtensions v0.9.5
⌃ [1037b233] ExaModels v0.9.3
[460bff9d] ExceptionUnwrapping v0.1.11
[e2ba6199] ExprTools v0.1.10
[c87230d0] FFMPEG v0.4.5
[9aa1b823] FastClosures v0.3.2
[1a297f60] FillArrays v1.16.0
[53c48c17] FixedPointNumbers v0.8.5
[1fa38f19] Format v1.3.7
[f6369f11] ForwardDiff v1.3.2
[069b7b12] FunctionWrappers v1.1.3
[0c68f7d7] GPUArrays v11.4.1
[46192b85] GPUArraysCore v0.2.0
[61eb1bfa] GPUCompiler v1.8.2
[096a3bc2] GPUToolbox v1.0.0
[28b8d3ca] GR v0.73.24
[42e2da0e] Grisu v1.0.2
[34c5aeac] HSL v0.5.2
[cd3eb016] HTTP v1.11.0
[076d061b] HashArrayMappedTries v0.2.0
[842dd82b] InlineStrings v1.4.5
[a98d9a8b] Interpolations v0.16.2
[41ab1584] InvertedIndices v1.3.1
[b6b21f68] Ipopt v1.14.1
[92d709cd] IrrationalConstants v0.2.6
[82899510] IteratorInterfaceExtensions v1.0.0
[1019f520] JLFzf v0.1.11
[692b3bcd] JLLWrappers v1.7.1
[682c06a0] JSON v1.4.0
[4076af6c] JuMP v1.30.0
[63c18a36] KernelAbstractions v0.9.40
[40e66cde] LDLFactorizations v0.10.1
[929cbde3] LLVM v9.4.6
[8b046642] LLVMLoopInfo v1.0.0
[b964fa9f] LaTeXStrings v1.4.0
[23fbe1c1] Latexify v0.16.10
[5c8ed15e] LinearOperators v2.13.0
[2ab3a3ac] LogExpFunctions v0.3.29
[e6f89c97] LoggingExtras v1.2.0
[33e6dc65] MKL v0.9.1
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.16
⌅ [2621e9c9] MadNLP v0.8.12
⌅ [d72a61cc] MadNLPGPU v0.7.18
[3b83494e] MadNLPMumps v0.5.1
[b8f27783] MathOptInterface v1.49.0
[739be429] MbedTLS v1.1.10
[442fdcdd] Measures v0.3.3
[2679e427] Metis v1.5.0
[e1d29d7a] Missings v1.2.0
[d8a4904e] MutableArithmetics v1.6.7
[a4795742] NLPModels v0.21.11
[f4238b75] NLPModelsIpopt v0.11.2
[e01155f1] NLPModelsModifiers v0.7.4
[5da4648a] NVTX v1.0.3
[77ba4419] NaNMath v1.1.3
[6fe1bfb0] OffsetArrays v1.17.0
[4d8831e6] OpenSSL v1.6.1
[5f98b655] OptimalControl v1.1.6
[59046045] OptimalControlProblems v0.5.0
[bac558e1] OrderedCollections v1.8.1
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.3
[ccf2f8ad] PlotThemes v3.3.0
[995b91a9] PlotUtils v1.4.4
[91a5bcdd] Plots v1.41.6
[2dfb63ee] PooledArrays v1.4.3
[aea7be01] PrecompileTools v1.3.3
[21216c6a] Preferences v1.5.2
[08abe8d2] PrettyTables v3.2.3
[43287f4e] PtrArrays v1.4.0
[be4d8f0f] Quadmath v0.5.13
[74087812] Random123 v1.7.1
[e6cf234a] RandomNumbers v1.6.0
[c84ed2f1] Ratios v0.4.5
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.1
[37e2e3b7] ReverseDiff v1.16.2
[7e506255] ScopedValues v1.6.0
[6c6a2e73] Scratch v1.3.0
[91c51154] SentinelArrays v1.4.9
[992d4aef] Showoff v1.0.3
[777ac1f9] SimpleBufferStream v1.2.0
[ff4d7338] SolverCore v0.3.10
[a2af1166] SortingAlgorithms v1.2.2
[9f842d2f] SparseConnectivityTracer v1.2.1
[0a514795] SparseMatrixColorings v0.4.24
[276daf66] SpecialFunctions v2.7.1
[860ef19b] StableRNGs v1.0.4
[90137ffa] StaticArrays v1.9.18
[1e83bf80] StaticArraysCore v1.4.4
[10745b16] Statistics v1.11.1
[82ae8749] StatsAPI v1.8.0
[2913bbd2] StatsBase v0.34.10
[892a3eda] StringManipulation v0.4.4
[ec057cc2] StructUtils v2.6.3
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.1
[62fd8b95] TensorCore v0.1.1
[a759f4b9] TimerOutputs v0.5.29
[e689c965] Tracy v0.1.6
[3bb67fe8] TranscodingStreams v0.11.3
[5c2747f8] URIs v1.6.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[013be700] UnsafeAtomics v0.3.0
[41fe7b60] Unzip v0.2.0
[efce3f68] WoodburyMatrices v1.1.0
[ae81ac8f] ASL_jll v0.1.3+0
[6e34b625] Bzip2_jll v1.0.9+0
[d1e2174e] CUDA_Compiler_jll v0.4.1+1
[4ee394cb] CUDA_Driver_jll v13.2.0+0
[76a88914] CUDA_Runtime_jll v0.20.1+0
[4889d778] CUDSS_jll v0.7.1+0
[83423d85] Cairo_jll v1.18.5+1
[ee1fde0b] Dbus_jll v1.16.2+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
[2e619515] Expat_jll v2.7.3+0
[b22a6f82] FFMPEG_jll v8.0.1+0
[a3f928ae] Fontconfig_jll v2.17.1+0
[d7e528f0] FreeType2_jll v2.13.4+0
[559328eb] FriBidi_jll v1.0.17+0
[0656b61e] GLFW_jll v3.4.1+0
[d2c73de3] GR_jll v0.73.24+0
[b0724c58] GettextRuntime_jll v0.22.4+0
[61579ee1] Ghostscript_jll v9.55.1+0
[7746bdde] Glib_jll v2.86.3+0
[3b182d85] Graphite2_jll v1.3.15+0
[017b0a0e] HSL_jll v4.0.4+0
[2e76f6c2] HarfBuzz_jll v8.5.1+0
[e33a78d0] Hwloc_jll v2.13.0+0
[1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
[9cc047cb] Ipopt_jll v300.1400.1901+0
[aacddb02] JpegTurbo_jll v3.1.4+0
[9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
[c1c5ebd0] LAME_jll v3.100.3+0
[88015f11] LERC_jll v4.0.1+0
[dad2f222] LLVMExtra_jll v0.0.38+0
[1d63c593] LLVMOpenMP_jll v18.1.8+0
[dd4b983a] LZO_jll v2.10.3+0
[ad6e5548] LibTracyClient_jll v0.13.1+0
⌅ [e9f186c6] Libffi_jll v3.4.7+0
[7e76a0d4] Libglvnd_jll v1.7.1+1
[94ce4f54] Libiconv_jll v1.18.0+0
[4b2f31a3] Libmount_jll v2.41.3+0
[89763e89] Libtiff_jll v4.7.2+0
[38a345b3] Libuuid_jll v2.41.3+0
[d00139f3] METIS_jll v5.1.3+0
[856f044c] MKL_jll v2025.2.0+0
[d7ed1dd3] MUMPS_seq_jll v500.800.200+0
[c8ffd9c3] MbedTLS_jll v2.28.1010+0
[e98f9f5b] NVTX_jll v3.2.2+0
[e7412a2a] Ogg_jll v1.3.6+0
[656ef2d0] OpenBLAS32_jll v0.3.30+0
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[91d4177d] Opus_jll v1.6.1+0
[36c8627f] Pango_jll v1.57.0+0
⌅ [30392449] Pixman_jll v0.44.2+0
[c0090381] Qt6Base_jll v6.10.2+1
[629bc702] Qt6Declarative_jll v6.10.2+1
[ce943373] Qt6ShaderTools_jll v6.10.2+1
[6de9746b] Qt6Svg_jll v6.10.2+0
[e99dba38] Qt6Wayland_jll v6.10.2+1
[319450e9] SPRAL_jll v2025.9.18+0
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.24.0+0
⌅ [02c8fc9c] XML2_jll v2.13.9+0
[ffd25f8a] XZ_jll v5.8.2+0
[f67eecfb] Xorg_libICE_jll v1.1.2+0
[c834827a] Xorg_libSM_jll v1.2.6+0
[4f6342f7] Xorg_libX11_jll v1.8.13+0
[0c0b7dd1] Xorg_libXau_jll v1.0.13+0
[935fb764] Xorg_libXcursor_jll v1.2.4+0
[a3789734] Xorg_libXdmcp_jll v1.1.6+0
[1082639a] Xorg_libXext_jll v1.3.8+0
[d091e8ba] Xorg_libXfixes_jll v6.0.2+0
[a51aa0fd] Xorg_libXi_jll v1.8.3+0
[d1454406] Xorg_libXinerama_jll v1.1.7+0
[ec84b674] Xorg_libXrandr_jll v1.5.6+0
[ea2f1a96] Xorg_libXrender_jll v0.9.12+0
[a65dc6b1] Xorg_libpciaccess_jll v0.18.1+0
[c7cfdc94] Xorg_libxcb_jll v1.17.1+0
[cc61e674] Xorg_libxkbfile_jll v1.2.0+0
[e920d4aa] Xorg_xcb_util_cursor_jll v0.1.6+0
[12413925] Xorg_xcb_util_image_jll v0.4.1+0
[2def613f] Xorg_xcb_util_jll v0.4.1+0
[975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
[0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
[c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
[35661453] Xorg_xkbcomp_jll v1.4.7+0
[33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
[c5fb5394] Xorg_xtrans_jll v1.6.0+0
[3161d3a3] Zstd_jll v1.5.7+1
[1e29f10c] demumble_jll v1.3.0+0
[35ca27e7] eudev_jll v3.2.14+0
[214eeab7] fzf_jll v0.61.1+0
[a4ae2306] libaom_jll v3.13.1+0
[0ac62f75] libass_jll v0.17.4+0
[1183f4f0] libdecor_jll v0.2.2+0
[2db6ffa8] libevdev_jll v1.13.4+0
[f638f0a6] libfdk_aac_jll v2.0.4+0
[36db933b] libinput_jll v1.28.1+0
[b53b4c65] libpng_jll v1.6.55+0
[f27f6e37] libvorbis_jll v1.3.8+0
[009596ad] mtdev_jll v1.1.7+0
[1317d2d5] oneTBB_jll v2022.0.0+1
⌅ [1270edf5] x264_jll v10164.0.1+0
[dfaa095f] x265_jll v4.1.0+0
[d8fb68d0] xkbcommon_jll v1.13.0+0
[0dad84c5] ArgTools v1.1.2
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[ade2ca70] Dates v1.11.0
[8ba89e20] Distributed v1.11.0
[f43a241f] Downloads v1.7.0
[7b1f6079] FileWatching v1.11.0
[9fa8497b] Future v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
[4af54fe1] LazyArtifacts v1.11.0
[b27032c2] LibCURL v0.6.4
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[4607b0f0] SuiteSparse
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Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` 📈 Performance Profile CPU Time
Dataset overview for core-ubuntu-latest:
- Problems: 19 unique optimal control problems
- Instances: 57
- Solver combos: 6
Profile configuration:
- Instance definition: (problem, grid_size)
- Solver combos definition: (model, solver)
- Criterion: CPU time
- Successful runs: 334/342 (97.7%)
- Successful instances: 57/57 (100.0%)
- Unsuccessful instances: none (every instance had at least one successful run)
Robustness (% of instances solved):
(jump, ipopt): 98.2%(adnlp, ipopt): 98.2%(exa, ipopt): 98.2%(jump, madnlp): 100.0%(adnlp, madnlp): 91.2%(exa, madnlp): 100.0%
Efficiency (% of instances where fastest):
(jump, ipopt): 3.5%(adnlp, ipopt): 0.0%(exa, ipopt): 21.1%(jump, madnlp): 17.5%(adnlp, madnlp): 0.0%(exa, madnlp): 57.9%
Most robust: 2 combinations tied at 100.0%.
Most efficient: (exa, madnlp) was fastest on 57.9% of instances.
📈 Performance Profile CPU Time: two best combos
Dataset overview for core-ubuntu-latest:
- Problems: 19 unique optimal control problems
- Instances: 57
- Solver combos: 2
Profile configuration:
- Instance definition: (problem, grid_size)
- Solver combos definition: (model, solver)
- Criterion: CPU time
- Successful runs: 113/114 (99.1%)
- Successful instances: 57/57 (100.0%)
- Unsuccessful instances: none (every instance had at least one successful run)
Robustness (% of instances solved):
(exa, ipopt): 98.2%(exa, madnlp): 100.0%
Efficiency (% of instances where fastest):
(exa, ipopt): 24.6%(exa, madnlp): 75.4%
Most robust: (exa, madnlp) solved 100.0% of instances.
Most efficient: (exa, madnlp) was fastest on 75.4% of instances.
📈 Performance Profile Iterations
Dataset overview for core-ubuntu-latest:
- Problems: 19 unique optimal control problems
- Instances: 57
- Solver combos: 6
Profile configuration:
- Instance definition: (problem, grid_size)
- Solver combos definition: (model, solver)
- Criterion: Iterations
- Successful runs: 334/342 (97.7%)
- Successful instances: 57/57 (100.0%)
- Unsuccessful instances: none (every instance had at least one successful run)
Robustness (% of instances solved):
(jump, ipopt): 98.2%(adnlp, ipopt): 98.2%(exa, ipopt): 98.2%(jump, madnlp): 100.0%(adnlp, madnlp): 91.2%(exa, madnlp): 100.0%
Efficiency (% of instances where fastest):
(jump, ipopt): 75.4%(adnlp, ipopt): 77.2%(exa, ipopt): 75.4%(jump, madnlp): 35.1%(adnlp, madnlp): 31.6%(exa, madnlp): 29.8%
Most robust: 2 combinations tied at 100.0%.
Most efficient: (adnlp, ipopt) was fastest on 77.2% of instances.
📊 Tables of Results
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 200 | adnlp | ipopt | 104.574 | 17 | 771.011400 | min | |
| ✓ | 200 | adnlp | madnlp | 135.066 | 23 | 771.011400 | min | |
| ✓ | 200 | exa | ipopt | 38.829 | 17 | 771.011400 | min | ✓ |
| ✓ | 200 | exa | madnlp | 39.284 | 23 | 771.011400 | min | |
| ✓ | 200 | jump | ipopt | 70.988 | 17 | 771.011400 | min | |
| ✓ | 200 | jump | madnlp | 105.928 | 23 | 771.011400 | min |
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 500 | adnlp | ipopt | 316.332 | 20 | 771.008497 | min | |
| ✓ | 500 | adnlp | madnlp | 448.400 | 25 | 771.008498 | min | |
| ✓ | 500 | exa | ipopt | 106.130 | 20 | 771.008497 | min | |
| ✓ | 500 | exa | madnlp | 104.908 | 25 | 771.008498 | min | ✓ |
| ✓ | 500 | jump | ipopt | 230.327 | 20 | 771.008497 | min | |
| ✓ | 500 | jump | madnlp | 355.430 | 25 | 771.008498 | min |
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 1000 | adnlp | ipopt | 832.642 | 20 | 771.008007 | min | |
| ✗ | 1000 | adnlp | madnlp | N/A | N/A | N/A | N/A | |
| ✓ | 1000 | exa | ipopt | 218.603 | 20 | 771.008007 | min | |
| ✓ | 1000 | exa | madnlp | 204.525 | 23 | 771.008010 | min | ✓ |
| ✓ | 1000 | jump | ipopt | 620.983 | 20 | 771.008007 | min | |
| ✓ | 1000 | jump | madnlp | 747.061 | 23 | 771.008010 | min |
Benchmarks results:
┌─ Problem: balanced_field
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 70.988 ms | iters: 17 | obj: 7.710114e+02 (min) | CPU: 22.70 KiB
│ │ ✓ | adnlp | time: 104.574 ms | iters: 17 | obj: 7.710114e+02 (min) | CPU: 23.00 MiB
│ │ ✓ | exa | time: 38.829 ms | iters: 17 | obj: 7.710114e+02 (min) | CPU: 129.11 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 230.327 ms | iters: 20 | obj: 7.710085e+02 (min) | CPU: 26.41 KiB
│ │ ✓ | adnlp | time: 316.332 ms | iters: 20 | obj: 7.710085e+02 (min) | CPU: 66.32 MiB
│ │ ✓ | exa | time: 106.130 ms | iters: 20 | obj: 7.710085e+02 (min) | CPU: 242.58 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 620.983 ms | iters: 20 | obj: 7.710080e+02 (min) | CPU: 26.41 KiB
│ │ ✓ | adnlp | time: 832.642 ms | iters: 20 | obj: 7.710080e+02 (min) | CPU: 132.40 MiB
│ │ ✓ | exa | time: 218.603 ms | iters: 20 | obj: 7.710080e+02 (min) | CPU: 425.95 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 105.928 ms | iters: 23 | obj: 7.710114e+02 (min) | CPU: 31.45 MiB
│ │ ✓ | adnlp | time: 135.066 ms | iters: 23 | obj: 7.710114e+02 (min) | CPU: 34.07 MiB
│ │ ✓ | exa | time: 39.284 ms | iters: 23 | obj: 7.710114e+02 (min) | CPU: 5.62 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 355.430 ms | iters: 25 | obj: 7.710085e+02 (min) | CPU: 82.24 MiB
│ │ ✓ | adnlp | time: 448.400 ms | iters: 25 | obj: 7.710085e+02 (min) | CPU: 90.93 MiB
│ │ ✓ | exa | time: 104.908 ms | iters: 25 | obj: 7.710085e+02 (min) | CPU: 14.01 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 747.061 ms | iters: 23 | obj: 7.710080e+02 (min) | CPU: 164.44 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 204.525 ms | iters: 23 | obj: 7.710080e+02 (min) | CPU: 26.92 MiB
│ └─
└─
┌─ Problem: beam
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 15.256 ms | iters: 16 | obj: 8.891335e+00 (min) | CPU: 10.16 KiB
│ │ ✓ | adnlp | time: 19.837 ms | iters: 16 | obj: 8.891335e+00 (min) | CPU: 2.37 MiB
│ │ ✓ | exa | time: 15.021 ms | iters: 16 | obj: 8.891335e+00 (min) | CPU: 72.55 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 35.691 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 11.16 KiB
│ │ ✓ | adnlp | time: 46.942 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 6.47 MiB
│ │ ✓ | exa | time: 35.009 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 137.67 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 105.623 ms | iters: 30 | obj: 8.888987e+00 (min) | CPU: 17.16 KiB
│ │ ✓ | adnlp | time: 150.207 ms | iters: 33 | obj: 8.888988e+00 (min) | CPU: 22.54 MiB
│ │ ✓ | exa | time: 113.007 ms | iters: 33 | obj: 8.888987e+00 (min) | CPU: 258.83 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 11.525 ms | iters: 21 | obj: 8.891335e+00 (min) | CPU: 1.95 MiB
│ │ ✓ | adnlp | time: 17.244 ms | iters: 21 | obj: 8.891335e+00 (min) | CPU: 4.59 MiB
│ │ ✓ | exa | time: 12.300 ms | iters: 21 | obj: 8.891335e+00 (min) | CPU: 1.76 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 22.487 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 4.13 MiB
│ │ ✓ | adnlp | time: 34.519 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 9.81 MiB
│ │ ✓ | exa | time: 23.049 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 3.74 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 64.450 ms | iters: 28 | obj: 8.888987e+00 (min) | CPU: 10.33 MiB
│ │ ✓ | adnlp | time: 94.578 ms | iters: 26 | obj: 8.888987e+00 (min) | CPU: 26.25 MiB
│ │ ✓ | exa | time: 67.005 ms | iters: 28 | obj: 8.888987e+00 (min) | CPU: 9.47 MiB
│ └─
└─
┌─ Problem: brachistochrone
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 44.234 ms | iters: 19 | obj: 1.802935e+00 (min) | CPU: 25.17 KiB
│ │ ✓ | adnlp | time: 64.306 ms | iters: 19 | obj: 1.802935e+00 (min) | CPU: 28.07 MiB
│ │ ✓ | exa | time: 30.437 ms | iters: 19 | obj: 1.802935e+00 (min) | CPU: 96.05 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 109.194 ms | iters: 18 | obj: 1.802932e+00 (min) | CPU: 24.19 KiB
│ │ ✓ | adnlp | time: 144.036 ms | iters: 18 | obj: 1.802932e+00 (min) | CPU: 66.85 MiB
│ │ ✓ | exa | time: 61.043 ms | iters: 18 | obj: 1.802932e+00 (min) | CPU: 182.03 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 243.891 ms | iters: 20 | obj: 1.802932e+00 (min) | CPU: 26.41 KiB
│ │ ✓ | adnlp | time: 333.437 ms | iters: 20 | obj: 1.802932e+00 (min) | CPU: 146.10 MiB
│ │ ✓ | exa | time: 136.338 ms | iters: 20 | obj: 1.802932e+00 (min) | CPU: 328.33 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 43.693 ms | iters: 20 | obj: 1.802935e+00 (min) | CPU: 14.31 MiB
│ │ ✓ | adnlp | time: 59.311 ms | iters: 20 | obj: 1.802935e+00 (min) | CPU: 31.76 MiB
│ │ ✓ | exa | time: 24.081 ms | iters: 20 | obj: 1.802935e+00 (min) | CPU: 2.88 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 127.776 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 35.95 MiB
│ │ ✓ | adnlp | time: 155.635 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 82.13 MiB
│ │ ✓ | exa | time: 59.412 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 6.87 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 381.493 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 70.50 MiB
│ │ ✗ | adnlp : ERROR: DomainError(-Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 124.542 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 13.50 MiB
│ └─
└─
┌─ Problem: bryson_denham
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 13.057 ms | iters: 13 | obj: 4.000889e+00 (min) | CPU: 8.66 KiB
│ │ ✓ | adnlp | time: 16.870 ms | iters: 13 | obj: 4.000889e+00 (min) | CPU: 1.97 MiB
│ │ ✓ | exa | time: 12.465 ms | iters: 13 | obj: 4.000889e+00 (min) | CPU: 69.45 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 31.734 ms | iters: 16 | obj: 4.000143e+00 (min) | CPU: 10.16 KiB
│ │ ✓ | adnlp | time: 42.080 ms | iters: 16 | obj: 4.000143e+00 (min) | CPU: 5.82 MiB
│ │ ✓ | exa | time: 30.353 ms | iters: 16 | obj: 4.000143e+00 (min) | CPU: 135.61 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 76.950 ms | iters: 22 | obj: 4.000037e+00 (min) | CPU: 13.16 KiB
│ │ ✓ | adnlp | time: 110.605 ms | iters: 22 | obj: 4.000037e+00 (min) | CPU: 15.45 MiB
│ │ ✓ | exa | time: 76.052 ms | iters: 22 | obj: 4.000037e+00 (min) | CPU: 247.48 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 8.599 ms | iters: 15 | obj: 4.000889e+00 (min) | CPU: 1.53 MiB
│ │ ✓ | adnlp | time: 13.201 ms | iters: 15 | obj: 4.000889e+00 (min) | CPU: 3.39 MiB
│ │ ✓ | exa | time: 8.898 ms | iters: 15 | obj: 4.000889e+00 (min) | CPU: 1.33 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 21.047 ms | iters: 17 | obj: 4.000144e+00 (min) | CPU: 3.63 MiB
│ │ ✓ | adnlp | time: 37.997 ms | iters: 19 | obj: 4.000143e+00 (min) | CPU: 10.00 MiB
│ │ ✓ | exa | time: 23.097 ms | iters: 18 | obj: 4.000143e+00 (min) | CPU: 3.33 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 59.100 ms | iters: 25 | obj: 4.000036e+00 (min) | CPU: 8.64 MiB
│ │ ✓ | adnlp | time: 89.278 ms | iters: 23 | obj: 4.000036e+00 (min) | CPU: 22.68 MiB
│ │ ✓ | exa | time: 54.981 ms | iters: 23 | obj: 4.000036e+00 (min) | CPU: 7.35 MiB
│ └─
└─
┌─ Problem: chain
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 14.029 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 10.36 KiB
│ │ ✓ | adnlp | time: 15.991 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 4.40 MiB
│ │ ✓ | exa | time: 9.547 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 70.12 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 62.463 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 20.50 KiB
│ │ ✓ | adnlp | time: 71.452 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 20.40 MiB
│ │ ✓ | exa | time: 41.089 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 146.62 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 65.119 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 9.12 KiB
│ │ ✓ | adnlp | time: 72.866 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 19.35 MiB
│ │ ✓ | exa | time: 39.702 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 250.34 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 14.564 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 7.19 MiB
│ │ ✓ | adnlp | time: 14.180 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 5.53 MiB
│ │ ✓ | exa | time: 8.006 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 1.43 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 60.679 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 19.22 MiB
│ │ ✓ | adnlp | time: 63.835 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 23.67 MiB
│ │ ✓ | exa | time: 35.921 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 3.98 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 65.547 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 37.98 MiB
│ │ ✓ | adnlp | time: 53.376 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 24.41 MiB
│ │ ✓ | exa | time: 30.804 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 6.42 MiB
│ └─
└─
┌─ Problem: dielectrophoretic_particle
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 18.708 ms | iters: 12 | obj: 7.811387e+00 (min) | CPU: 17.03 KiB
│ │ ✓ | adnlp | time: 28.254 ms | iters: 12 | obj: 7.811387e+00 (min) | CPU: 7.29 MiB
│ │ ✓ | exa | time: 13.132 ms | iters: 12 | obj: 7.811387e+00 (min) | CPU: 72.77 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 40.707 ms | iters: 13 | obj: 7.811324e+00 (min) | CPU: 17.77 KiB
│ │ ✓ | adnlp | time: 66.343 ms | iters: 13 | obj: 7.811324e+00 (min) | CPU: 19.13 MiB
│ │ ✓ | exa | time: 29.800 ms | iters: 13 | obj: 7.811324e+00 (min) | CPU: 136.45 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 83.302 ms | iters: 13 | obj: 7.811314e+00 (min) | CPU: 17.77 KiB
│ │ ✓ | adnlp | time: 144.393 ms | iters: 13 | obj: 7.811314e+00 (min) | CPU: 38.15 MiB
│ │ ✓ | exa | time: 58.515 ms | iters: 13 | obj: 7.811314e+00 (min) | CPU: 242.14 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 15.484 ms | iters: 13 | obj: 7.811387e+00 (min) | CPU: 6.83 MiB
│ │ ✓ | adnlp | time: 25.143 ms | iters: 13 | obj: 7.811387e+00 (min) | CPU: 9.15 MiB
│ │ ✓ | exa | time: 9.449 ms | iters: 13 | obj: 7.811387e+00 (min) | CPU: 1.95 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 41.507 ms | iters: 15 | obj: 7.811325e+00 (min) | CPU: 16.68 MiB
│ │ ✓ | adnlp | time: 71.920 ms | iters: 15 | obj: 7.811325e+00 (min) | CPU: 25.28 MiB
│ │ ✓ | exa | time: 24.364 ms | iters: 15 | obj: 7.811325e+00 (min) | CPU: 4.79 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 95.198 ms | iters: 16 | obj: 7.811315e+00 (min) | CPU: 34.32 MiB
│ │ ✓ | adnlp | time: 195.427 ms | iters: 16 | obj: 7.811315e+00 (min) | CPU: 53.10 MiB
│ │ ✓ | exa | time: 52.431 ms | iters: 16 | obj: 7.811315e+00 (min) | CPU: 9.63 MiB
│ └─
└─
┌─ Problem: double_oscillator
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 10.019 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 18.251 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 5.19 MiB
│ │ ✓ | exa | time: 11.104 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 102.86 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 21.584 ms | iters: 5 | obj: 9.109230e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 42.850 ms | iters: 5 | obj: 9.109230e-04 (min) | CPU: 12.91 MiB
│ │ ✓ | exa | time: 25.429 ms | iters: 5 | obj: 9.109230e-04 (min) | CPU: 213.23 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 41.223 ms | iters: 5 | obj: 9.110069e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 87.945 ms | iters: 5 | obj: 9.110069e-04 (min) | CPU: 25.77 MiB
│ │ ✓ | exa | time: 49.162 ms | iters: 5 | obj: 9.110069e-04 (min) | CPU: 396.61 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 8.010 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 2.39 MiB
│ │ ✓ | adnlp | time: 16.799 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 6.78 MiB
│ │ ✓ | exa | time: 7.976 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 2.71 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 20.183 ms | iters: 6 | obj: 9.109230e-04 (min) | CPU: 5.77 MiB
│ │ ✓ | adnlp | time: 48.611 ms | iters: 6 | obj: 9.109230e-04 (min) | CPU: 18.77 MiB
│ │ ✓ | exa | time: 21.648 ms | iters: 6 | obj: 9.109230e-04 (min) | CPU: 6.72 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 39.742 ms | iters: 6 | obj: 9.110069e-04 (min) | CPU: 11.60 MiB
│ │ ✓ | adnlp | time: 99.527 ms | iters: 6 | obj: 9.110069e-04 (min) | CPU: 37.36 MiB
│ │ ✓ | exa | time: 43.155 ms | iters: 6 | obj: 9.110069e-04 (min) | CPU: 13.26 MiB
│ └─
└─
┌─ Problem: ducted_fan
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 703.211 ms | iters: 92 | obj: 1.831942e+03 (min) | CPU: 121.25 KiB
│ │ ✓ | adnlp | time: 949.812 ms | iters: 94 | obj: 1.831942e+03 (min) | CPU: 115.43 MiB
│ │ ✓ | exa | time: 502.165 ms | iters: 92 | obj: 1.831942e+03 (min) | CPU: 254.80 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.350 s | iters: 53 | obj: 1.831665e+03 (min) | CPU: 69.05 KiB
│ │ ✓ | adnlp | time: 3.442 s | iters: 117 | obj: 1.831665e+03 (min) | CPU: 354.63 MiB
│ │ ✓ | exa | time: 1.994 s | iters: 141 | obj: 1.831665e+03 (min) | CPU: 483.64 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 7.777 s | iters: 131 | obj: 1.831623e+03 (min) | CPU: 187.27 KiB
│ │ ✓ | adnlp | time: 14.753 s | iters: 188 | obj: 1.831623e+03 (min) | CPU: 1.16 GiB
│ │ ✓ | exa | time: 16.018 s | iters: 301 | obj: 1.831623e+03 (min) | CPU: 955.38 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 185.514 ms | iters: 41 | obj: 1.831942e+03 (min) | CPU: 23.30 MiB
│ │ ✓ | adnlp | time: 271.035 ms | iters: 41 | obj: 1.831942e+03 (min) | CPU: 61.09 MiB
│ │ ✓ | exa | time: 154.781 ms | iters: 41 | obj: 1.831942e+03 (min) | CPU: 9.51 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.109 s | iters: 94 | obj: 1.831665e+03 (min) | CPU: 85.70 MiB
│ │ ✓ | adnlp | time: 3.819 s | iters: 202 | obj: 1.831665e+03 (min) | CPU: 798.62 MiB
│ │ ✓ | exa | time: 688.090 ms | iters: 94 | obj: 1.831665e+03 (min) | CPU: 51.82 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 1.958 s | iters: 74 | obj: 1.831623e+03 (min) | CPU: 133.78 MiB
│ │ ✓ | adnlp | time: 3.554 s | iters: 79 | obj: 1.831623e+03 (min) | CPU: 568.06 MiB
│ │ ✓ | exa | time: 1.811 s | iters: 79 | obj: 1.831623e+03 (min) | CPU: 71.90 MiB
│ └─
└─
┌─ Problem: electric_vehicle
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 6.147 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 9.140 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 2.71 MiB
│ │ ✓ | exa | time: 4.533 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 58.38 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 13.186 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 20.826 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 6.74 MiB
│ │ ✓ | exa | time: 9.319 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 107.44 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 25.144 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 46.089 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 13.44 MiB
│ │ ✓ | exa | time: 17.263 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 189.62 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 7.554 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 5.62 MiB
│ │ ✓ | adnlp | time: 8.385 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 3.53 MiB
│ │ ✓ | exa | time: 3.556 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 1.33 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 18.244 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 13.73 MiB
│ │ ✓ | adnlp | time: 19.735 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 8.66 MiB
│ │ ✓ | exa | time: 8.058 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 3.14 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 36.445 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 28.14 MiB
│ │ ✓ | adnlp | time: 42.347 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 17.19 MiB
│ │ ✓ | exa | time: 15.059 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 6.15 MiB
│ └─
└─
┌─ Problem: glider
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 548.303 ms | iters: 78 | obj: -1.248896e+03 (min) | CPU: 98.25 KiB
│ │ ✓ | adnlp | time: 556.702 ms | iters: 78 | obj: -1.248896e+03 (min) | CPU: 76.78 MiB
│ │ ✓ | exa | time: 314.886 ms | iters: 78 | obj: -1.248896e+03 (min) | CPU: 268.72 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 28.310 s | iters: 68 | obj: -1.247978e+03 (min) | CPU: 88.16 KiB
│ │ ✓ | adnlp | time: 24.834 s | iters: 40 | obj: -1.247978e+03 (min) | CPU: 101.34 MiB
│ │ ✓ | exa | time: 23.149 s | iters: 68 | obj: -1.247978e+03 (min) | CPU: 370.61 KiB
│ │
│ │ N = 1000
│ │ ✗ | jump | time: 503.776 s | iters: 20 | obj: -1.058875e+03 (min) | CPU: 26.41 KiB
│ │ ✗ | adnlp | time: 531.483 s | iters: 19 | obj: -1.058874e+03 (min) | CPU: 99.01 MiB
│ │ ✗ | exa | time: 539.281 s | iters: 18 | obj: -1.058874e+03 (min) | CPU: 500.39 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 579.993 ms | iters: 92 | obj: -1.248896e+03 (min) | CPU: 56.83 MiB
│ │ ✓ | adnlp | time: 544.469 ms | iters: 83 | obj: -1.248896e+03 (min) | CPU: 95.23 MiB
│ │ ✓ | exa | time: 308.306 ms | iters: 112 | obj: -1.248896e+03 (min) | CPU: 14.30 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 3.438 s | iters: 182 | obj: -1.247978e+03 (min) | CPU: 162.29 MiB
│ │ ✓ | adnlp | time: 3.370 s | iters: 171 | obj: -1.247978e+03 (min) | CPU: 472.36 MiB
│ │ ✓ | exa | time: 1.285 s | iters: 172 | obj: -1.247978e+03 (min) | CPU: 49.93 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 4.420 s | iters: 107 | obj: -1.247985e+03 (min) | CPU: 289.82 MiB
│ │ ✓ | adnlp | time: 8.058 s | iters: 148 | obj: -1.247985e+03 (min) | CPU: 826.72 MiB
│ │ ✓ | exa | time: 1.898 s | iters: 124 | obj: -1.247985e+03 (min) | CPU: 71.83 MiB
│ └─
└─
┌─ Problem: insurance
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 390.900 ms | iters: 90 | obj: -2.058581e+00 (min) | CPU: 118.31 KiB
│ │ ✓ | adnlp | time: 577.631 ms | iters: 90 | obj: -2.058581e+00 (min) | CPU: 120.75 MiB
│ │ ✓ | exa | time: 317.780 ms | iters: 91 | obj: -2.058581e+00 (min) | CPU: 246.09 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.054 s | iters: 100 | obj: -2.059214e+00 (min) | CPU: 125.41 KiB
│ │ ✓ | adnlp | time: 1.633 s | iters: 96 | obj: -2.059214e+00 (min) | CPU: 311.99 MiB
│ │ ✓ | exa | time: 912.445 ms | iters: 109 | obj: -2.059214e+00 (min) | CPU: 441.56 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 3.436 s | iters: 139 | obj: -2.059511e+00 (min) | CPU: 178.05 KiB
│ │ ✓ | adnlp | time: 5.385 s | iters: 146 | obj: -2.059511e+00 (min) | CPU: 946.00 MiB
│ │ ✓ | exa | time: 2.616 s | iters: 134 | obj: -2.059511e+00 (min) | CPU: 769.45 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 463.606 ms | iters: 120 | obj: -2.058581e+00 (min) | CPU: 38.18 MiB
│ │ ✓ | adnlp | time: 724.552 ms | iters: 120 | obj: -2.058581e+00 (min) | CPU: 200.33 MiB
│ │ ✓ | exa | time: 333.018 ms | iters: 120 | obj: -2.058581e+00 (min) | CPU: 26.32 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 3.055 s | iters: 255 | obj: -2.059207e+00 (min) | CPU: 145.36 MiB
│ │ ✓ | adnlp | time: 7.337 s | iters: 409 | obj: -2.059207e+00 (min) | CPU: 1.52 GiB
│ │ ✓ | exa | time: 3.117 s | iters: 350 | obj: -2.059213e+00 (min) | CPU: 156.35 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 12.817 s | iters: 567 | obj: -2.059511e+00 (min) | CPU: 535.27 MiB
│ │ ✓ | adnlp | time: 19.527 s | iters: 529 | obj: -2.059510e+00 (min) | CPU: 3.76 GiB
│ │ ✓ | exa | time: 9.260 s | iters: 520 | obj: -2.059510e+00 (min) | CPU: 435.18 MiB
│ └─
└─
┌─ Problem: jackson
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 74.658 ms | iters: 42 | obj: -1.918613e-01 (min) | CPU: 55.06 KiB
│ │ ✓ | adnlp | time: 104.305 ms | iters: 42 | obj: -1.918613e-01 (min) | CPU: 10.80 MiB
│ │ ✓ | exa | time: 77.441 ms | iters: 42 | obj: -1.918613e-01 (min) | CPU: 124.73 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 229.028 ms | iters: 58 | obj: -1.918219e-01 (min) | CPU: 73.81 KiB
│ │ ✓ | adnlp | time: 341.087 ms | iters: 58 | obj: -1.918219e-01 (min) | CPU: 36.18 MiB
│ │ ✓ | exa | time: 249.535 ms | iters: 58 | obj: -1.918219e-01 (min) | CPU: 227.05 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 133.180 ms | iters: 21 | obj: -1.918162e-01 (min) | CPU: 27.64 KiB
│ │ ✓ | adnlp | time: 257.615 ms | iters: 21 | obj: -1.918162e-01 (min) | CPU: 27.46 MiB
│ │ ✓ | exa | time: 144.215 ms | iters: 21 | obj: -1.918162e-01 (min) | CPU: 333.11 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 46.869 ms | iters: 40 | obj: -1.918610e-01 (min) | CPU: 6.94 MiB
│ │ ✓ | adnlp | time: 82.854 ms | iters: 40 | obj: -1.918610e-01 (min) | CPU: 15.86 MiB
│ │ ✓ | exa | time: 49.873 ms | iters: 40 | obj: -1.918610e-01 (min) | CPU: 6.74 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 45.336 ms | iters: 22 | obj: -1.918217e-01 (min) | CPU: 12.71 MiB
│ │ ✓ | adnlp | time: 96.572 ms | iters: 22 | obj: -1.918217e-01 (min) | CPU: 22.99 MiB
│ │ ✓ | exa | time: 47.524 ms | iters: 22 | obj: -1.918217e-01 (min) | CPU: 11.28 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 91.776 ms | iters: 23 | obj: -1.918159e-01 (min) | CPU: 25.89 MiB
│ │ ✓ | adnlp | time: 211.166 ms | iters: 23 | obj: -1.918159e-01 (min) | CPU: 47.41 MiB
│ │ ✓ | exa | time: 96.910 ms | iters: 23 | obj: -1.918159e-01 (min) | CPU: 22.83 MiB
│ └─
└─
┌─ Problem: mountain_car
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 75.103 ms | iters: 41 | obj: 1.023976e+02 (min) | CPU: 52.33 KiB
│ │ ✓ | adnlp | time: 91.568 ms | iters: 41 | obj: 1.023976e+02 (min) | CPU: 10.43 MiB
│ │ ✓ | exa | time: 60.944 ms | iters: 41 | obj: 1.023976e+02 (min) | CPU: 100.95 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 249.610 ms | iters: 69 | obj: 1.023699e+02 (min) | CPU: 89.64 KiB
│ │ ✓ | adnlp | time: 320.788 ms | iters: 69 | obj: 1.023699e+02 (min) | CPU: 43.15 MiB
│ │ ✓ | exa | time: 192.447 ms | iters: 67 | obj: 1.023699e+02 (min) | CPU: 193.06 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 472.163 ms | iters: 64 | obj: 1.023682e+02 (min) | CPU: 80.72 KiB
│ │ ✓ | adnlp | time: 694.249 ms | iters: 64 | obj: 1.023682e+02 (min) | CPU: 78.76 MiB
│ │ ✓ | exa | time: 320.634 ms | iters: 62 | obj: 1.023682e+02 (min) | CPU: 291.36 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 63.823 ms | iters: 49 | obj: 1.023810e+02 (min) | CPU: 9.76 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 54.193 ms | iters: 49 | obj: 1.023810e+02 (min) | CPU: 5.51 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 138.920 ms | iters: 51 | obj: 1.023699e+02 (min) | CPU: 23.86 MiB
│ │ ✓ | adnlp | time: 197.104 ms | iters: 51 | obj: 1.023699e+02 (min) | CPU: 44.17 MiB
│ │ ✓ | exa | time: 106.733 ms | iters: 51 | obj: 1.023699e+02 (min) | CPU: 13.41 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 425.486 ms | iters: 74 | obj: 1.023682e+02 (min) | CPU: 59.75 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 323.140 ms | iters: 74 | obj: 1.023682e+02 (min) | CPU: 37.98 MiB
│ └─
└─
┌─ Problem: robbins
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 25.389 ms | iters: 19 | obj: 1.962626e+01 (min) | CPU: 12.16 KiB
│ │ ✓ | adnlp | time: 34.211 ms | iters: 19 | obj: 1.962626e+01 (min) | CPU: 3.48 MiB
│ │ ✓ | exa | time: 23.217 ms | iters: 19 | obj: 1.962626e+01 (min) | CPU: 95.61 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 49.400 ms | iters: 18 | obj: 1.946663e+01 (min) | CPU: 11.16 KiB
│ │ ✓ | adnlp | time: 72.763 ms | iters: 18 | obj: 1.946663e+01 (min) | CPU: 8.08 MiB
│ │ ✓ | exa | time: 50.436 ms | iters: 18 | obj: 1.946663e+01 (min) | CPU: 180.98 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 135.792 ms | iters: 27 | obj: 1.944019e+01 (min) | CPU: 15.66 KiB
│ │ ✓ | adnlp | time: 216.678 ms | iters: 27 | obj: 1.944019e+01 (min) | CPU: 23.33 MiB
│ │ ✓ | exa | time: 138.749 ms | iters: 27 | obj: 1.944019e+01 (min) | CPU: 334.70 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 25.708 ms | iters: 34 | obj: 1.962626e+01 (min) | CPU: 2.81 MiB
│ │ ✓ | adnlp | time: 43.183 ms | iters: 34 | obj: 1.962626e+01 (min) | CPU: 8.26 MiB
│ │ ✓ | exa | time: 26.402 ms | iters: 34 | obj: 1.962626e+01 (min) | CPU: 2.65 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 55.233 ms | iters: 31 | obj: 1.946663e+01 (min) | CPU: 6.14 MiB
│ │ ✓ | adnlp | time: 87.679 ms | iters: 29 | obj: 1.946663e+01 (min) | CPU: 17.55 MiB
│ │ ✓ | exa | time: 52.935 ms | iters: 29 | obj: 1.946663e+01 (min) | CPU: 5.67 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 165.368 ms | iters: 50 | obj: 1.944019e+01 (min) | CPU: 16.03 MiB
│ │ ✓ | adnlp | time: 322.803 ms | iters: 50 | obj: 1.944019e+01 (min) | CPU: 56.11 MiB
│ │ ✓ | exa | time: 169.978 ms | iters: 50 | obj: 1.944019e+01 (min) | CPU: 15.45 MiB
│ └─
└─
┌─ Problem: robot
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 84.221 ms | iters: 18 | obj: 9.141395e+00 (min) | CPU: 23.94 KiB
│ │ ✓ | adnlp | time: 119.856 ms | iters: 18 | obj: 9.141395e+00 (min) | CPU: 12.91 MiB
│ │ ✓ | exa | time: 63.343 ms | iters: 18 | obj: 9.141395e+00 (min) | CPU: 181.27 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 216.737 ms | iters: 17 | obj: 9.140991e+00 (min) | CPU: 22.70 KiB
│ │ ✓ | adnlp | time: 347.597 ms | iters: 17 | obj: 9.140991e+00 (min) | CPU: 30.39 MiB
│ │ ✓ | exa | time: 158.340 ms | iters: 17 | obj: 9.140991e+00 (min) | CPU: 369.86 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 572.037 ms | iters: 19 | obj: 9.140931e+00 (min) | CPU: 25.17 KiB
│ │ ✓ | adnlp | time: 783.148 ms | iters: 19 | obj: 9.140931e+00 (min) | CPU: 67.10 MiB
│ │ ✓ | exa | time: 395.172 ms | iters: 19 | obj: 9.140931e+00 (min) | CPU: 688.55 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 67.487 ms | iters: 16 | obj: 9.141397e+00 (min) | CPU: 20.27 MiB
│ │ ✓ | adnlp | time: 98.347 ms | iters: 16 | obj: 9.141397e+00 (min) | CPU: 16.98 MiB
│ │ ✓ | exa | time: 49.319 ms | iters: 16 | obj: 9.141397e+00 (min) | CPU: 6.61 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 278.863 ms | iters: 25 | obj: 9.140992e+00 (min) | CPU: 54.52 MiB
│ │ ✓ | adnlp | time: 449.681 ms | iters: 25 | obj: 9.140992e+00 (min) | CPU: 61.04 MiB
│ │ ✓ | exa | time: 195.490 ms | iters: 25 | obj: 9.140992e+00 (min) | CPU: 20.43 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 655.652 ms | iters: 23 | obj: 9.140939e+00 (min) | CPU: 108.51 MiB
│ │ ✓ | adnlp | time: 975.331 ms | iters: 23 | obj: 9.140939e+00 (min) | CPU: 114.69 MiB
│ │ ✓ | exa | time: 479.596 ms | iters: 23 | obj: 9.140939e+00 (min) | CPU: 39.43 MiB
│ └─
└─
┌─ Problem: rocket
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 38.181 ms | iters: 18 | obj: -1.012836e+00 (min) | CPU: 23.94 KiB
│ │ ✓ | adnlp | time: 70.902 ms | iters: 18 | obj: -1.012836e+00 (min) | CPU: 16.91 MiB
│ │ ✓ | exa | time: 27.650 ms | iters: 18 | obj: -1.012836e+00 (min) | CPU: 101.02 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 100.123 ms | iters: 21 | obj: -1.012837e+00 (min) | CPU: 27.64 KiB
│ │ ✓ | adnlp | time: 217.642 ms | iters: 21 | obj: -1.012837e+00 (min) | CPU: 48.36 MiB
│ │ ✓ | exa | time: 71.947 ms | iters: 21 | obj: -1.012837e+00 (min) | CPU: 190.73 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 253.402 ms | iters: 24 | obj: -1.012837e+00 (min) | CPU: 31.34 KiB
│ │ ✓ | adnlp | time: 553.075 ms | iters: 24 | obj: -1.012837e+00 (min) | CPU: 109.19 MiB
│ │ ✓ | exa | time: 165.116 ms | iters: 24 | obj: -1.012837e+00 (min) | CPU: 338.45 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 36.717 ms | iters: 21 | obj: -1.012835e+00 (min) | CPU: 12.96 MiB
│ │ ✓ | adnlp | time: 72.863 ms | iters: 21 | obj: -1.012835e+00 (min) | CPU: 22.84 MiB
│ │ ✓ | exa | time: 22.500 ms | iters: 21 | obj: -1.012835e+00 (min) | CPU: 4.41 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 94.513 ms | iters: 22 | obj: -1.012835e+00 (min) | CPU: 32.06 MiB
│ │ ✓ | adnlp | time: 182.906 ms | iters: 22 | obj: -1.012835e+00 (min) | CPU: 58.83 MiB
│ │ ✓ | exa | time: 57.592 ms | iters: 22 | obj: -1.012835e+00 (min) | CPU: 10.86 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 223.565 ms | iters: 24 | obj: -1.012836e+00 (min) | CPU: 65.45 MiB
│ │ ✓ | adnlp | time: 487.694 ms | iters: 24 | obj: -1.012836e+00 (min) | CPU: 126.65 MiB
│ │ ✓ | exa | time: 128.806 ms | iters: 24 | obj: -1.012836e+00 (min) | CPU: 22.40 MiB
│ └─
└─
┌─ Problem: space_shuttle
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 1.486 s | iters: 111 | obj: -3.853783e-01 (min) | CPU: 138.98 KiB
│ │ ✓ | adnlp | time: 1.450 s | iters: 101 | obj: -5.958694e-01 (min) | CPU: 172.82 MiB
│ │ ✓ | exa | time: 709.763 ms | iters: 101 | obj: -5.958694e-01 (min) | CPU: 309.17 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 4.674 s | iters: 115 | obj: -5.958750e-01 (min) | CPU: 143.67 KiB
│ │ ✓ | adnlp | time: 4.381 s | iters: 116 | obj: -5.958750e-01 (min) | CPU: 492.38 MiB
│ │ ✓ | exa | time: 1.959 s | iters: 116 | obj: -5.958750e-01 (min) | CPU: 498.08 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 6.491 s | iters: 74 | obj: -3.050197e-01 (min) | CPU: 97.30 KiB
│ │ ✓ | adnlp | time: 13.251 s | iters: 125 | obj: -5.958758e-01 (min) | CPU: 1.03 GiB
│ │ ✓ | exa | time: 6.300 s | iters: 125 | obj: -5.958758e-01 (min) | CPU: 796.62 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 1.477 s | iters: 113 | obj: -3.854923e-01 (min) | CPU: 101.75 MiB
│ │ ✓ | adnlp | time: 2.949 s | iters: 198 | obj: -5.958694e-01 (min) | CPU: 398.60 MiB
│ │ ✓ | exa | time: 937.569 ms | iters: 181 | obj: -5.958694e-01 (min) | CPU: 52.66 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 2.797 s | iters: 77 | obj: -5.958750e-01 (min) | CPU: 230.97 MiB
│ │ ✓ | adnlp | time: 7.565 s | iters: 166 | obj: -5.958750e-01 (min) | CPU: 847.91 MiB
│ │ ✓ | exa | time: 2.187 s | iters: 166 | obj: -5.958750e-01 (min) | CPU: 123.22 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 81.535 s | iters: 480 | obj: -3.050197e-01 (min) | CPU: 1.24 GiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 3.312 s | iters: 95 | obj: -5.958758e-01 (min) | CPU: 159.66 MiB
│ └─
└─
┌─ Problem: steering
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 22.525 ms | iters: 8 | obj: 5.545770e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 27.864 ms | iters: 8 | obj: 5.545770e-01 (min) | CPU: 4.89 MiB
│ │ ✓ | exa | time: 18.972 ms | iters: 8 | obj: 5.545770e-01 (min) | CPU: 102.95 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 58.795 ms | iters: 8 | obj: 5.545719e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 75.733 ms | iters: 8 | obj: 5.545719e-01 (min) | CPU: 12.13 MiB
│ │ ✓ | exa | time: 48.718 ms | iters: 8 | obj: 5.545719e-01 (min) | CPU: 213.33 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 157.364 ms | iters: 8 | obj: 5.545711e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 187.352 ms | iters: 8 | obj: 5.545711e-01 (min) | CPU: 24.19 MiB
│ │ ✓ | exa | time: 108.805 ms | iters: 8 | obj: 5.545711e-01 (min) | CPU: 396.70 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 25.721 ms | iters: 11 | obj: 5.545770e-01 (min) | CPU: 8.77 MiB
│ │ ✓ | adnlp | time: 29.997 ms | iters: 11 | obj: 5.545770e-01 (min) | CPU: 8.31 MiB
│ │ ✓ | exa | time: 17.860 ms | iters: 11 | obj: 5.545770e-01 (min) | CPU: 2.35 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 74.667 ms | iters: 13 | obj: 5.545719e-01 (min) | CPU: 22.17 MiB
│ │ ✓ | adnlp | time: 87.776 ms | iters: 13 | obj: 5.545719e-01 (min) | CPU: 23.19 MiB
│ │ ✓ | exa | time: 50.713 ms | iters: 13 | obj: 5.545719e-01 (min) | CPU: 5.89 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 174.865 ms | iters: 14 | obj: 5.545711e-01 (min) | CPU: 45.15 MiB
│ │ ✓ | adnlp | time: 211.277 ms | iters: 14 | obj: 5.545711e-01 (min) | CPU: 48.89 MiB
│ │ ✓ | exa | time: 118.447 ms | iters: 14 | obj: 5.545711e-01 (min) | CPU: 11.87 MiB
│ └─
└─
┌─ Problem: vanderpol
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 4.750 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 6.473 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 955.09 KiB
│ │ ✓ | exa | time: 3.714 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 53.50 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 9.941 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 14.534 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 2.30 MiB
│ │ ✓ | exa | time: 7.519 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 102.56 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 19.344 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 29.922 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 4.58 MiB
│ │ ✓ | exa | time: 14.209 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 184.75 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 6.220 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 5.04 MiB
│ │ ✓ | adnlp | time: 6.244 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 1.69 MiB
│ │ ✓ | exa | time: 2.824 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 1.33 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 15.347 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 12.23 MiB
│ │ ✓ | adnlp | time: 14.006 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 4.08 MiB
│ │ ✓ | exa | time: 6.359 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 3.15 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 30.433 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 24.67 MiB
│ │ ✓ | adnlp | time: 30.692 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 8.06 MiB
│ │ ✓ | exa | time: 12.293 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 6.19 MiB
│ └─
└─ Kkt
This benchmark suite evaluates optimal control problems on self-hosted CPU hardware.
⚙️ Configuration
Problems: balanced_field, beam, brachistochrone, bryson_denham, chain, dielectrophoretic_particle, double_oscillator, ducted_fan, electric_vehicle, glider, insurance, jackson, mountain_car, robbins, robot, rocket, space_shuttle, steering, vanderpol
Solvers: ipopt, madnlp
Models: adnlp, exa, jump
Grid sizes: 200, 500, 1000, 2000 discretization points
Discretization: trapeze method
Tolerance: 1.0e-8
Ipopt strategy: adaptive barrier parameter
Limits: 1000 iterations max, 500.0s wall time
🖥️ Environment
📅 Timestamp : 2026-03-11 01:25:20 UTC
🔧 Julia version : 1.12.4
💻 OS : Linux
🖥️ Machine : kkt.mcs.anl.govYou can download the exact environment used for this benchmark:
📦 Project.toml - Package dependencies
📋 Manifest.toml - Complete dependency tree with versions
📜 Benchmark script - Julia script to run the benchmark
These files allow you to reproduce the benchmark environment and results exactly.
Julia Version 1.12.4
Commit 01a2eadb047 (2026-01-06 16:56 UTC)
Build Info:
Official https://julialang.org release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 192 × INTEL(R) XEON(R) PLATINUM 8568Y+
WORD_SIZE: 64
LLVM: libLLVM-18.1.7 (ORCJIT, sapphirerapids)
GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 192 virtual cores)
Environment:
JULIA_CUDSS_LIBRARY_PATH = /software/libcudss/libcudss-linux-x86_64-0.7.1.4_cuda13-archive/lib
JULIA_LOAD_PATH = @:@v#.#:@stdlib:/software/julia/environments/v1.12
JULIA_PKG_SERVER_REGISTRY_PREFERENCE = eager
JULIA_DEPOT_PATH = /storage/mschanen/github-actions/julia_depot
LD_LIBRARY_PATH = /software/julia/julia_binaries/julia-1.12/lib:/software/mpich-ofi/lib:/software/libcudss/libcudss-linux-x86_64-0.7.1.4_cuda13-archive/lib:/usr/local/cuda/lib Project CTBenchmarks v0.3.1
Status `/storage/mschanen/github-actions/actions_runner_ct/_work/CTBenchmarks.jl/CTBenchmarks.jl/Project.toml`
[6e4b80f9] BenchmarkTools v1.6.3
⌅ [54762871] CTBase v0.16.2
[052768ef] CUDA v5.10.1
[a93c6f00] DataFrames v1.8.1
[ffbed154] DocStringExtensions v0.9.5
[b6b21f68] Ipopt v1.14.1
[682c06a0] JSON v1.4.0
[4076af6c] JuMP v1.30.0
⌅ [d72a61cc] MadNLPGPU v0.7.18
[3b83494e] MadNLPMumps v0.5.1
[f4238b75] NLPModelsIpopt v0.11.2
⌅ [5f98b655] OptimalControl v1.1.6
[59046045] OptimalControlProblems v0.5.0
[91a5bcdd] Plots v1.41.6
[10745b16] Statistics v1.11.1
[bd369af6] Tables v1.12.1
[ade2ca70] Dates v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[44cfe95a] Pkg v1.12.1
[de0858da] Printf v1.11.0
[6462fe0b] Sockets v1.11.0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated` Project CTBenchmarks v0.3.1
Status `/storage/mschanen/github-actions/actions_runner_ct/_work/CTBenchmarks.jl/CTBenchmarks.jl/Manifest.toml`
[54578032] ADNLPModels v0.8.13
[47edcb42] ADTypes v1.21.0
[14f7f29c] AMD v0.5.3
[621f4979] AbstractFFTs v1.5.0
[79e6a3ab] Adapt v4.5.0
[66dad0bd] AliasTables v1.1.3
[a9b6321e] Atomix v1.1.2
[13072b0f] AxisAlgorithms v1.1.0
[ab4f0b2a] BFloat16s v0.6.1
[6e4b80f9] BenchmarkTools v1.6.3
[d1d4a3ce] BitFlags v0.1.9
[fa961155] CEnum v0.5.0
⌅ [54762871] CTBase v0.16.2
⌅ [790bbbee] CTDirect v0.17.5-beta
⌃ [1c39547c] CTFlows v0.8.12-beta
⌅ [34c4fa32] CTModels v0.6.10-beta.2
⌅ [32681960] CTParser v0.7.3-beta
[052768ef] CUDA v5.10.1
[1af6417a] CUDA_Runtime_Discovery v1.0.0
[45b445bb] CUDSS v0.6.7
[d360d2e6] ChainRulesCore v1.26.0
[523fee87] CodecBzip2 v0.8.5
[944b1d66] CodecZlib v0.7.8
[35d6a980] ColorSchemes v3.31.0
[3da002f7] ColorTypes v0.12.1
[c3611d14] ColorVectorSpace v0.11.0
[5ae59095] Colors v0.13.1
[38540f10] CommonSolve v0.2.6
[bbf7d656] CommonSubexpressions v0.3.1
[34da2185] Compat v4.18.1
[f0e56b4a] ConcurrentUtilities v2.5.1
[d38c429a] Contour v0.6.3
[a8cc5b0e] Crayons v4.1.1
[9a962f9c] DataAPI v1.16.0
[a93c6f00] DataFrames v1.8.1
[864edb3b] DataStructures v0.19.3
[e2d170a0] DataValueInterfaces v1.0.0
[8bb1440f] DelimitedFiles v1.9.1
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
[ffbed154] DocStringExtensions v0.9.5
⌃ [1037b233] ExaModels v0.9.3
[460bff9d] ExceptionUnwrapping v0.1.11
[e2ba6199] ExprTools v0.1.10
[c87230d0] FFMPEG v0.4.5
[9aa1b823] FastClosures v0.3.2
[1a297f60] FillArrays v1.16.0
[53c48c17] FixedPointNumbers v0.8.5
[1fa38f19] Format v1.3.7
[f6369f11] ForwardDiff v1.3.2
[069b7b12] FunctionWrappers v1.1.3
[0c68f7d7] GPUArrays v11.4.1
[46192b85] GPUArraysCore v0.2.0
[61eb1bfa] GPUCompiler v1.8.2
[096a3bc2] GPUToolbox v1.0.0
[28b8d3ca] GR v0.73.24
[42e2da0e] Grisu v1.0.2
[34c5aeac] HSL v0.5.2
[cd3eb016] HTTP v1.11.0
[076d061b] HashArrayMappedTries v0.2.0
[842dd82b] InlineStrings v1.4.5
[a98d9a8b] Interpolations v0.16.2
[41ab1584] InvertedIndices v1.3.1
[b6b21f68] Ipopt v1.14.1
[92d709cd] IrrationalConstants v0.2.6
[82899510] IteratorInterfaceExtensions v1.0.0
[1019f520] JLFzf v0.1.11
[692b3bcd] JLLWrappers v1.7.1
[682c06a0] JSON v1.4.0
[4076af6c] JuMP v1.30.0
[63c18a36] KernelAbstractions v0.9.40
[40e66cde] LDLFactorizations v0.10.1
[929cbde3] LLVM v9.4.6
[8b046642] LLVMLoopInfo v1.0.0
[b964fa9f] LaTeXStrings v1.4.0
[23fbe1c1] Latexify v0.16.10
[5c8ed15e] LinearOperators v2.13.0
[2ab3a3ac] LogExpFunctions v0.3.29
[e6f89c97] LoggingExtras v1.2.0
[33e6dc65] MKL v0.9.1
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.16
⌅ [2621e9c9] MadNLP v0.8.12
⌅ [d72a61cc] MadNLPGPU v0.7.18
[3b83494e] MadNLPMumps v0.5.1
[b8f27783] MathOptInterface v1.49.0
[739be429] MbedTLS v1.1.10
[442fdcdd] Measures v0.3.3
[2679e427] Metis v1.5.0
[e1d29d7a] Missings v1.2.0
[d8a4904e] MutableArithmetics v1.6.7
[a4795742] NLPModels v0.21.11
[f4238b75] NLPModelsIpopt v0.11.2
[e01155f1] NLPModelsModifiers v0.7.4
[5da4648a] NVTX v1.0.3
[77ba4419] NaNMath v1.1.3
[6fe1bfb0] OffsetArrays v1.17.0
[4d8831e6] OpenSSL v1.6.1
⌅ [5f98b655] OptimalControl v1.1.6
[59046045] OptimalControlProblems v0.5.0
[bac558e1] OrderedCollections v1.8.1
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.8.3
[ccf2f8ad] PlotThemes v3.3.0
[995b91a9] PlotUtils v1.4.4
[91a5bcdd] Plots v1.41.6
[2dfb63ee] PooledArrays v1.4.3
[aea7be01] PrecompileTools v1.3.3
[21216c6a] Preferences v1.5.2
[08abe8d2] PrettyTables v3.2.3
[43287f4e] PtrArrays v1.4.0
[be4d8f0f] Quadmath v0.5.13
[74087812] Random123 v1.7.1
[e6cf234a] RandomNumbers v1.6.0
[c84ed2f1] Ratios v0.4.5
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.1
[37e2e3b7] ReverseDiff v1.16.2
[7e506255] ScopedValues v1.6.0
[6c6a2e73] Scratch v1.3.0
[91c51154] SentinelArrays v1.4.9
[992d4aef] Showoff v1.0.3
[777ac1f9] SimpleBufferStream v1.2.0
[ff4d7338] SolverCore v0.3.10
[a2af1166] SortingAlgorithms v1.2.2
[9f842d2f] SparseConnectivityTracer v1.2.1
[0a514795] SparseMatrixColorings v0.4.24
[276daf66] SpecialFunctions v2.7.1
[860ef19b] StableRNGs v1.0.4
[90137ffa] StaticArrays v1.9.17
[1e83bf80] StaticArraysCore v1.4.4
[10745b16] Statistics v1.11.1
[82ae8749] StatsAPI v1.8.0
[2913bbd2] StatsBase v0.34.10
[892a3eda] StringManipulation v0.4.4
[ec057cc2] StructUtils v2.6.3
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.12.1
[62fd8b95] TensorCore v0.1.1
[a759f4b9] TimerOutputs v0.5.29
[e689c965] Tracy v0.1.6
[3bb67fe8] TranscodingStreams v0.11.3
[5c2747f8] URIs v1.6.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[013be700] UnsafeAtomics v0.3.0
[41fe7b60] Unzip v0.2.0
[efce3f68] WoodburyMatrices v1.1.0
[ae81ac8f] ASL_jll v0.1.3+0
[6e34b625] Bzip2_jll v1.0.9+0
[d1e2174e] CUDA_Compiler_jll v0.4.1+1
[4ee394cb] CUDA_Driver_jll v13.1.1+0
[76a88914] CUDA_Runtime_jll v0.20.1+0
[4889d778] CUDSS_jll v0.7.1+0
[83423d85] Cairo_jll v1.18.5+1
[ee1fde0b] Dbus_jll v1.16.2+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
[2e619515] Expat_jll v2.7.3+0
[b22a6f82] FFMPEG_jll v8.0.1+0
[a3f928ae] Fontconfig_jll v2.17.1+0
[d7e528f0] FreeType2_jll v2.13.4+0
[559328eb] FriBidi_jll v1.0.17+0
[0656b61e] GLFW_jll v3.4.1+0
[d2c73de3] GR_jll v0.73.24+0
[b0724c58] GettextRuntime_jll v0.22.4+0
[61579ee1] Ghostscript_jll v9.55.1+0
[7746bdde] Glib_jll v2.86.3+0
[3b182d85] Graphite2_jll v1.3.15+0
[017b0a0e] HSL_jll v4.0.4+0
[2e76f6c2] HarfBuzz_jll v8.5.1+0
[e33a78d0] Hwloc_jll v2.13.0+0
[1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
[9cc047cb] Ipopt_jll v300.1400.1901+0
[aacddb02] JpegTurbo_jll v3.1.4+0
[9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
[c1c5ebd0] LAME_jll v3.100.3+0
[88015f11] LERC_jll v4.0.1+0
[dad2f222] LLVMExtra_jll v0.0.38+0
[1d63c593] LLVMOpenMP_jll v18.1.8+0
[dd4b983a] LZO_jll v2.10.3+0
[ad6e5548] LibTracyClient_jll v0.13.1+0
⌅ [e9f186c6] Libffi_jll v3.4.7+0
[7e76a0d4] Libglvnd_jll v1.7.1+1
[94ce4f54] Libiconv_jll v1.18.0+0
[4b2f31a3] Libmount_jll v2.41.3+0
[89763e89] Libtiff_jll v4.7.2+0
[38a345b3] Libuuid_jll v2.41.3+0
[d00139f3] METIS_jll v5.1.3+0
[856f044c] MKL_jll v2025.2.0+0
[d7ed1dd3] MUMPS_seq_jll v500.800.200+0
[c8ffd9c3] MbedTLS_jll v2.28.1010+0
[e98f9f5b] NVTX_jll v3.2.2+0
[e7412a2a] Ogg_jll v1.3.6+0
[656ef2d0] OpenBLAS32_jll v0.3.30+0
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[91d4177d] Opus_jll v1.6.1+0
[36c8627f] Pango_jll v1.57.0+0
⌅ [30392449] Pixman_jll v0.44.2+0
[c0090381] Qt6Base_jll v6.10.2+1
[629bc702] Qt6Declarative_jll v6.10.2+1
[ce943373] Qt6ShaderTools_jll v6.10.2+1
[6de9746b] Qt6Svg_jll v6.10.2+0
[e99dba38] Qt6Wayland_jll v6.10.2+1
[319450e9] SPRAL_jll v2025.9.18+0
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.24.0+0
⌅ [02c8fc9c] XML2_jll v2.13.9+0
[ffd25f8a] XZ_jll v5.8.2+0
[f67eecfb] Xorg_libICE_jll v1.1.2+0
[c834827a] Xorg_libSM_jll v1.2.6+0
[4f6342f7] Xorg_libX11_jll v1.8.13+0
[0c0b7dd1] Xorg_libXau_jll v1.0.13+0
[935fb764] Xorg_libXcursor_jll v1.2.4+0
[a3789734] Xorg_libXdmcp_jll v1.1.6+0
[1082639a] Xorg_libXext_jll v1.3.8+0
[d091e8ba] Xorg_libXfixes_jll v6.0.2+0
[a51aa0fd] Xorg_libXi_jll v1.8.3+0
[d1454406] Xorg_libXinerama_jll v1.1.7+0
[ec84b674] Xorg_libXrandr_jll v1.5.6+0
[ea2f1a96] Xorg_libXrender_jll v0.9.12+0
[a65dc6b1] Xorg_libpciaccess_jll v0.18.1+0
[c7cfdc94] Xorg_libxcb_jll v1.17.1+0
[cc61e674] Xorg_libxkbfile_jll v1.2.0+0
[e920d4aa] Xorg_xcb_util_cursor_jll v0.1.6+0
[12413925] Xorg_xcb_util_image_jll v0.4.1+0
[2def613f] Xorg_xcb_util_jll v0.4.1+0
[975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
[0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
[c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
[35661453] Xorg_xkbcomp_jll v1.4.7+0
[33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
[c5fb5394] Xorg_xtrans_jll v1.6.0+0
[3161d3a3] Zstd_jll v1.5.7+1
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[f638f0a6] libfdk_aac_jll v2.0.4+0
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Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` 📈 Performance Profile CPU Time
Dataset overview for core-kkt-cpu:
- Problems: 19 unique optimal control problems
- Instances: 76
- Solver combos: 6
Profile configuration:
- Instance definition: (problem, grid_size)
- Solver combos definition: (model, solver)
- Criterion: CPU time
- Successful runs: 437/456 (95.8%)
- Successful instances: 76/76 (100.0%)
- Unsuccessful instances: none (every instance had at least one successful run)
Robustness (% of instances solved):
(jump, ipopt): 97.4%(adnlp, ipopt): 97.4%(exa, ipopt): 97.4%(jump, madnlp): 97.4%(adnlp, madnlp): 88.2%(exa, madnlp): 97.4%
Efficiency (% of instances where fastest):
(jump, ipopt): 6.6%(adnlp, ipopt): 0.0%(exa, ipopt): 27.6%(jump, madnlp): 14.5%(adnlp, madnlp): 0.0%(exa, madnlp): 51.3%
Most robust: 5 combinations tied at 97.4%.
Most efficient: (exa, madnlp) was fastest on 51.3% of instances.
📈 Performance Profile CPU Time: two best combos
Dataset overview for core-kkt-cpu:
- Problems: 19 unique optimal control problems
- Instances: 76
- Solver combos: 2
Profile configuration:
- Instance definition: (problem, grid_size)
- Solver combos definition: (model, solver)
- Criterion: CPU time
- Successful runs: 148/152 (97.4%)
- Successful instances: 75/76 (98.7%)
- Unsuccessful instances (no solver converged):
ducted_fan, 2000
Robustness (% of instances solved):
(exa, ipopt): 97.4%(exa, madnlp): 97.4%
Efficiency (% of instances where fastest):
(exa, ipopt): 34.2%(exa, madnlp): 64.5%
Most robust: 2 combinations tied at 97.4%.
Most efficient: (exa, madnlp) was fastest on 64.5% of instances.
📈 Performance Profile Iterations
Dataset overview for core-kkt-cpu:
- Problems: 19 unique optimal control problems
- Instances: 76
- Solver combos: 6
Profile configuration:
- Instance definition: (problem, grid_size)
- Solver combos definition: (model, solver)
- Criterion: Iterations
- Successful runs: 437/456 (95.8%)
- Successful instances: 76/76 (100.0%)
- Unsuccessful instances: none (every instance had at least one successful run)
Robustness (% of instances solved):
(jump, ipopt): 97.4%(adnlp, ipopt): 97.4%(exa, ipopt): 97.4%(jump, madnlp): 97.4%(adnlp, madnlp): 88.2%(exa, madnlp): 97.4%
Efficiency (% of instances where fastest):
(jump, ipopt): 75.0%(adnlp, ipopt): 75.0%(exa, ipopt): 75.0%(jump, madnlp): 34.2%(adnlp, madnlp): 28.9%(exa, madnlp): 32.9%
Most robust: 5 combinations tied at 97.4%.
Most efficient: 3 combinations tied at 75.0%.
📊 Tables of Results
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 200 | adnlp | ipopt | 74.182 | 17 | 771.011400 | min | |
| ✓ | 200 | adnlp | madnlp | 93.739 | 23 | 771.011400 | min | |
| ✓ | 200 | exa | ipopt | 25.513 | 17 | 771.011400 | min | |
| ✓ | 200 | exa | madnlp | 25.381 | 23 | 771.011400 | min | ✓ |
| ✓ | 200 | jump | ipopt | 51.475 | 17 | 771.011400 | min | |
| ✓ | 200 | jump | madnlp | 67.503 | 23 | 771.011400 | min |
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 500 | adnlp | ipopt | 211.184 | 20 | 771.008497 | min | |
| ✗ | 500 | adnlp | madnlp | N/A | N/A | N/A | N/A | |
| ✓ | 500 | exa | ipopt | 69.127 | 20 | 771.008497 | min | |
| ✓ | 500 | exa | madnlp | 67.841 | 25 | 771.008498 | min | ✓ |
| ✓ | 500 | jump | ipopt | 148.568 | 20 | 771.008497 | min | |
| ✓ | 500 | jump | madnlp | 181.815 | 25 | 771.008498 | min |
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 1000 | adnlp | ipopt | 451.807 | 20 | 771.008007 | min | |
| ✓ | 1000 | adnlp | madnlp | 510.589 | 23 | 771.008010 | min | |
| ✓ | 1000 | exa | ipopt | 315.920 | 20 | 771.008007 | min | |
| ✓ | 1000 | exa | madnlp | 132.933 | 23 | 771.008010 | min | ✓ |
| ✓ | 1000 | jump | ipopt | 318.731 | 20 | 771.008007 | min | |
| ✓ | 1000 | jump | madnlp | 349.429 | 23 | 771.008010 | min |
| Success | N | Model | Solver | Time (ms) | Iters | Objective | Criterion | Best |
|---|---|---|---|---|---|---|---|---|
| ✓ | 2000 | adnlp | ipopt | 1324.791 | 26 | 771.007873 | min | |
| ✓ | 2000 | adnlp | madnlp | 1178.116 | 24 | 771.007877 | min | |
| ✓ | 2000 | exa | ipopt | 1256.787 | 26 | 771.007873 | min | |
| ✓ | 2000 | exa | madnlp | 386.271 | 24 | 771.007877 | min | ✓ |
| ✓ | 2000 | jump | ipopt | 1263.858 | 26 | 771.007873 | min | |
| ✓ | 2000 | jump | madnlp | 756.205 | 24 | 771.007877 | min |
Benchmarks results:
┌─ Problem: balanced_field
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 51.475 ms | iters: 17 | obj: 7.710114e+02 (min) | CPU: 22.70 KiB
│ │ ✓ | adnlp | time: 74.182 ms | iters: 17 | obj: 7.710114e+02 (min) | CPU: 23.00 MiB
│ │ ✓ | exa | time: 25.513 ms | iters: 17 | obj: 7.710114e+02 (min) | CPU: 129.11 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 148.568 ms | iters: 20 | obj: 7.710085e+02 (min) | CPU: 26.41 KiB
│ │ ✓ | adnlp | time: 211.184 ms | iters: 20 | obj: 7.710085e+02 (min) | CPU: 66.32 MiB
│ │ ✓ | exa | time: 69.127 ms | iters: 20 | obj: 7.710085e+02 (min) | CPU: 242.58 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 318.731 ms | iters: 20 | obj: 7.710080e+02 (min) | CPU: 26.41 KiB
│ │ ✓ | adnlp | time: 451.807 ms | iters: 20 | obj: 7.710080e+02 (min) | CPU: 132.40 MiB
│ │ ✓ | exa | time: 315.920 ms | iters: 20 | obj: 7.710080e+02 (min) | CPU: 425.95 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 1.264 s | iters: 26 | obj: 7.710079e+02 (min) | CPU: 34.56 KiB
│ │ ✓ | adnlp | time: 1.325 s | iters: 26 | obj: 7.710079e+02 (min) | CPU: 340.26 MiB
│ │ ✓ | exa | time: 1.257 s | iters: 26 | obj: 7.710079e+02 (min) | CPU: 799.94 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 67.503 ms | iters: 23 | obj: 7.710114e+02 (min) | CPU: 31.44 MiB
│ │ ✓ | adnlp | time: 93.739 ms | iters: 23 | obj: 7.710114e+02 (min) | CPU: 34.07 MiB
│ │ ✓ | exa | time: 25.381 ms | iters: 23 | obj: 7.710114e+02 (min) | CPU: 5.62 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 181.815 ms | iters: 25 | obj: 7.710085e+02 (min) | CPU: 82.24 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 67.841 ms | iters: 25 | obj: 7.710085e+02 (min) | CPU: 14.01 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 349.429 ms | iters: 23 | obj: 7.710080e+02 (min) | CPU: 164.44 MiB
│ │ ✓ | adnlp | time: 510.589 ms | iters: 23 | obj: 7.710080e+02 (min) | CPU: 168.42 MiB
│ │ ✓ | exa | time: 132.933 ms | iters: 23 | obj: 7.710080e+02 (min) | CPU: 26.92 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 756.205 ms | iters: 24 | obj: 7.710079e+02 (min) | CPU: 329.77 MiB
│ │ ✓ | adnlp | time: 1.178 s | iters: 24 | obj: 7.710079e+02 (min) | CPU: 349.25 MiB
│ │ ✓ | exa | time: 386.271 ms | iters: 24 | obj: 7.710079e+02 (min) | CPU: 54.32 MiB
│ └─
└─
┌─ Problem: beam
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 9.195 ms | iters: 16 | obj: 8.891335e+00 (min) | CPU: 10.16 KiB
│ │ ✓ | adnlp | time: 13.707 ms | iters: 16 | obj: 8.891335e+00 (min) | CPU: 2.37 MiB
│ │ ✓ | exa | time: 9.045 ms | iters: 16 | obj: 8.891335e+00 (min) | CPU: 72.55 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 23.103 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 11.16 KiB
│ │ ✓ | adnlp | time: 32.804 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 6.47 MiB
│ │ ✓ | exa | time: 21.565 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 137.67 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 69.920 ms | iters: 30 | obj: 8.888987e+00 (min) | CPU: 17.16 KiB
│ │ ✓ | adnlp | time: 109.221 ms | iters: 33 | obj: 8.888988e+00 (min) | CPU: 22.54 MiB
│ │ ✓ | exa | time: 73.810 ms | iters: 35 | obj: 8.888987e+00 (min) | CPU: 260.89 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 143.263 ms | iters: 32 | obj: 8.888914e+00 (min) | CPU: 18.16 KiB
│ │ ✓ | adnlp | time: 229.854 ms | iters: 34 | obj: 8.888913e+00 (min) | CPU: 46.25 MiB
│ │ ✓ | exa | time: 121.678 ms | iters: 28 | obj: 8.888915e+00 (min) | CPU: 464.61 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 7.116 ms | iters: 21 | obj: 8.891335e+00 (min) | CPU: 1.95 MiB
│ │ ✓ | adnlp | time: 12.842 ms | iters: 21 | obj: 8.891335e+00 (min) | CPU: 4.59 MiB
│ │ ✓ | exa | time: 7.275 ms | iters: 21 | obj: 8.891335e+00 (min) | CPU: 1.76 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 14.750 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 4.13 MiB
│ │ ✓ | adnlp | time: 24.390 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 9.81 MiB
│ │ ✓ | exa | time: 14.885 ms | iters: 18 | obj: 8.889282e+00 (min) | CPU: 3.74 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 39.725 ms | iters: 26 | obj: 8.888987e+00 (min) | CPU: 9.85 MiB
│ │ ✓ | adnlp | time: 68.502 ms | iters: 28 | obj: 8.888987e+00 (min) | CPU: 28.11 MiB
│ │ ✓ | exa | time: 40.908 ms | iters: 26 | obj: 8.888987e+00 (min) | CPU: 8.99 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 137.773 ms | iters: 38 | obj: 8.888914e+00 (min) | CPU: 24.64 MiB
│ │ ✓ | adnlp | time: 215.767 ms | iters: 40 | obj: 8.888914e+00 (min) | CPU: 76.03 MiB
│ │ ✓ | exa | time: 144.782 ms | iters: 37 | obj: 8.888914e+00 (min) | CPU: 22.32 MiB
│ └─
└─
┌─ Problem: brachistochrone
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 30.637 ms | iters: 19 | obj: 1.802935e+00 (min) | CPU: 25.17 KiB
│ │ ✓ | adnlp | time: 44.755 ms | iters: 19 | obj: 1.802935e+00 (min) | CPU: 28.07 MiB
│ │ ✓ | exa | time: 18.415 ms | iters: 19 | obj: 1.802935e+00 (min) | CPU: 96.05 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 68.400 ms | iters: 18 | obj: 1.802932e+00 (min) | CPU: 24.19 KiB
│ │ ✓ | adnlp | time: 94.310 ms | iters: 18 | obj: 1.802932e+00 (min) | CPU: 66.85 MiB
│ │ ✓ | exa | time: 38.303 ms | iters: 18 | obj: 1.802932e+00 (min) | CPU: 182.03 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 144.564 ms | iters: 20 | obj: 1.802932e+00 (min) | CPU: 26.41 KiB
│ │ ✓ | adnlp | time: 217.536 ms | iters: 20 | obj: 1.802932e+00 (min) | CPU: 146.10 MiB
│ │ ✓ | exa | time: 85.555 ms | iters: 20 | obj: 1.802932e+00 (min) | CPU: 328.33 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 309.109 ms | iters: 19 | obj: 1.802932e+00 (min) | CPU: 25.17 KiB
│ │ ✓ | adnlp | time: 465.061 ms | iters: 19 | obj: 1.802932e+00 (min) | CPU: 278.60 MiB
│ │ ✓ | exa | time: 211.270 ms | iters: 19 | obj: 1.802932e+00 (min) | CPU: 616.36 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 30.706 ms | iters: 20 | obj: 1.802935e+00 (min) | CPU: 14.31 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 14.989 ms | iters: 20 | obj: 1.802935e+00 (min) | CPU: 2.88 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 79.136 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 35.95 MiB
│ │ ✓ | adnlp | time: 105.849 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 82.13 MiB
│ │ ✓ | exa | time: 37.887 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 6.87 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 163.846 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 70.50 MiB
│ │ ✓ | adnlp | time: 228.037 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 163.81 MiB
│ │ ✓ | exa | time: 79.781 ms | iters: 21 | obj: 1.802932e+00 (min) | CPU: 13.50 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 381.650 ms | iters: 23 | obj: 1.802932e+00 (min) | CPU: 142.76 MiB
│ │ ✓ | adnlp | time: 570.658 ms | iters: 23 | obj: 1.802932e+00 (min) | CPU: 354.90 MiB
│ │ ✓ | exa | time: 215.244 ms | iters: 23 | obj: 1.802932e+00 (min) | CPU: 27.77 MiB
│ └─
└─
┌─ Problem: bryson_denham
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 7.769 ms | iters: 13 | obj: 4.000889e+00 (min) | CPU: 8.66 KiB
│ │ ✓ | adnlp | time: 11.850 ms | iters: 13 | obj: 4.000889e+00 (min) | CPU: 1.97 MiB
│ │ ✓ | exa | time: 7.444 ms | iters: 13 | obj: 4.000889e+00 (min) | CPU: 69.45 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 20.597 ms | iters: 16 | obj: 4.000143e+00 (min) | CPU: 10.16 KiB
│ │ ✓ | adnlp | time: 28.445 ms | iters: 16 | obj: 4.000143e+00 (min) | CPU: 5.82 MiB
│ │ ✓ | exa | time: 18.795 ms | iters: 16 | obj: 4.000143e+00 (min) | CPU: 135.61 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 50.486 ms | iters: 22 | obj: 4.000037e+00 (min) | CPU: 13.16 KiB
│ │ ✓ | adnlp | time: 70.497 ms | iters: 22 | obj: 4.000037e+00 (min) | CPU: 15.45 MiB
│ │ ✓ | exa | time: 47.104 ms | iters: 22 | obj: 4.000037e+00 (min) | CPU: 247.48 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 115.379 ms | iters: 26 | obj: 4.000009e+00 (min) | CPU: 15.16 KiB
│ │ ✓ | adnlp | time: 150.719 ms | iters: 23 | obj: 4.000009e+00 (min) | CPU: 32.11 MiB
│ │ ✓ | exa | time: 106.645 ms | iters: 25 | obj: 4.000009e+00 (min) | CPU: 461.52 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 5.170 ms | iters: 15 | obj: 4.000889e+00 (min) | CPU: 1.53 MiB
│ │ ✓ | adnlp | time: 9.225 ms | iters: 15 | obj: 4.000889e+00 (min) | CPU: 3.39 MiB
│ │ ✓ | exa | time: 5.287 ms | iters: 15 | obj: 4.000889e+00 (min) | CPU: 1.33 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 15.199 ms | iters: 19 | obj: 4.000143e+00 (min) | CPU: 3.86 MiB
│ │ ✓ | adnlp | time: 26.453 ms | iters: 19 | obj: 4.000143e+00 (min) | CPU: 10.00 MiB
│ │ ✓ | exa | time: 14.685 ms | iters: 18 | obj: 4.000143e+00 (min) | CPU: 3.33 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 36.474 ms | iters: 24 | obj: 4.000036e+00 (min) | CPU: 8.38 MiB
│ │ ✓ | adnlp | time: 61.337 ms | iters: 23 | obj: 4.000036e+00 (min) | CPU: 22.68 MiB
│ │ ✓ | exa | time: 37.817 ms | iters: 24 | obj: 4.000036e+00 (min) | CPU: 7.59 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 140.386 ms | iters: 38 | obj: 4.000009e+00 (min) | CPU: 21.49 MiB
│ │ ✓ | adnlp | time: 224.070 ms | iters: 37 | obj: 4.000009e+00 (min) | CPU: 67.85 MiB
│ │ ✓ | exa | time: 144.869 ms | iters: 37 | obj: 4.000009e+00 (min) | CPU: 19.25 MiB
│ └─
└─
┌─ Problem: chain
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 9.516 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 10.36 KiB
│ │ ✓ | adnlp | time: 11.434 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 4.40 MiB
│ │ ✓ | exa | time: 6.041 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 70.12 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 42.796 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 20.50 KiB
│ │ ✓ | adnlp | time: 48.435 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 20.40 MiB
│ │ ✓ | exa | time: 25.619 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 146.62 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 39.793 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 9.12 KiB
│ │ ✓ | adnlp | time: 45.606 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 19.35 MiB
│ │ ✓ | exa | time: 25.631 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 250.34 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 84.069 ms | iters: 6 | obj: 5.068489e+00 (min) | CPU: 9.12 KiB
│ │ ✓ | adnlp | time: 91.481 ms | iters: 6 | obj: 5.068489e+00 (min) | CPU: 38.65 MiB
│ │ ✓ | exa | time: 57.481 ms | iters: 6 | obj: 5.068489e+00 (min) | CPU: 476.91 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 10.144 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 7.19 MiB
│ │ ✓ | adnlp | time: 9.321 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 5.53 MiB
│ │ ✓ | exa | time: 5.000 ms | iters: 7 | obj: 5.068917e+00 (min) | CPU: 1.43 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 41.671 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 19.22 MiB
│ │ ✓ | adnlp | time: 42.241 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 23.67 MiB
│ │ ✓ | exa | time: 22.361 ms | iters: 14 | obj: 5.068578e+00 (min) | CPU: 3.98 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 43.111 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 37.98 MiB
│ │ ✓ | adnlp | time: 39.377 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 24.41 MiB
│ │ ✓ | exa | time: 19.991 ms | iters: 6 | obj: 5.068510e+00 (min) | CPU: 6.42 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 119.468 ms | iters: 6 | obj: 5.068489e+00 (min) | CPU: 76.62 MiB
│ │ ✓ | adnlp | time: 113.361 ms | iters: 6 | obj: 5.068489e+00 (min) | CPU: 48.67 MiB
│ │ ✓ | exa | time: 80.068 ms | iters: 6 | obj: 5.068489e+00 (min) | CPU: 12.71 MiB
│ └─
└─
┌─ Problem: dielectrophoretic_particle
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 12.591 ms | iters: 12 | obj: 7.811387e+00 (min) | CPU: 17.03 KiB
│ │ ✓ | adnlp | time: 21.628 ms | iters: 12 | obj: 7.811387e+00 (min) | CPU: 7.29 MiB
│ │ ✓ | exa | time: 7.997 ms | iters: 12 | obj: 7.811387e+00 (min) | CPU: 72.77 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 28.762 ms | iters: 13 | obj: 7.811324e+00 (min) | CPU: 17.77 KiB
│ │ ✓ | adnlp | time: 46.891 ms | iters: 13 | obj: 7.811324e+00 (min) | CPU: 19.13 MiB
│ │ ✓ | exa | time: 18.718 ms | iters: 13 | obj: 7.811324e+00 (min) | CPU: 136.45 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 54.146 ms | iters: 13 | obj: 7.811314e+00 (min) | CPU: 17.77 KiB
│ │ ✓ | adnlp | time: 96.787 ms | iters: 13 | obj: 7.811314e+00 (min) | CPU: 38.15 MiB
│ │ ✓ | exa | time: 37.053 ms | iters: 13 | obj: 7.811314e+00 (min) | CPU: 242.14 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 121.234 ms | iters: 13 | obj: 7.811312e+00 (min) | CPU: 17.77 KiB
│ │ ✓ | adnlp | time: 214.448 ms | iters: 13 | obj: 7.811312e+00 (min) | CPU: 76.20 MiB
│ │ ✓ | exa | time: 93.755 ms | iters: 13 | obj: 7.811312e+00 (min) | CPU: 453.08 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 10.987 ms | iters: 13 | obj: 7.811387e+00 (min) | CPU: 6.83 MiB
│ │ ✓ | adnlp | time: 17.230 ms | iters: 13 | obj: 7.811387e+00 (min) | CPU: 9.15 MiB
│ │ ✓ | exa | time: 5.843 ms | iters: 13 | obj: 7.811387e+00 (min) | CPU: 1.95 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 29.175 ms | iters: 15 | obj: 7.811325e+00 (min) | CPU: 16.68 MiB
│ │ ✓ | adnlp | time: 47.718 ms | iters: 15 | obj: 7.811325e+00 (min) | CPU: 25.28 MiB
│ │ ✓ | exa | time: 16.000 ms | iters: 15 | obj: 7.811325e+00 (min) | CPU: 4.79 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 61.956 ms | iters: 16 | obj: 7.811315e+00 (min) | CPU: 34.32 MiB
│ │ ✓ | adnlp | time: 100.939 ms | iters: 16 | obj: 7.811315e+00 (min) | CPU: 53.10 MiB
│ │ ✓ | exa | time: 34.960 ms | iters: 16 | obj: 7.811315e+00 (min) | CPU: 9.63 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 150.618 ms | iters: 17 | obj: 7.811313e+00 (min) | CPU: 69.65 MiB
│ │ ✓ | adnlp | time: 239.519 ms | iters: 17 | obj: 7.811313e+00 (min) | CPU: 111.45 MiB
│ │ ✓ | exa | time: 98.426 ms | iters: 17 | obj: 7.811313e+00 (min) | CPU: 19.47 MiB
│ └─
└─
┌─ Problem: double_oscillator
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 6.551 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 12.818 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 5.19 MiB
│ │ ✓ | exa | time: 7.345 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 102.86 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 13.898 ms | iters: 5 | obj: 9.109230e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 29.456 ms | iters: 5 | obj: 9.109230e-04 (min) | CPU: 12.91 MiB
│ │ ✓ | exa | time: 16.475 ms | iters: 5 | obj: 9.109230e-04 (min) | CPU: 213.23 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 26.472 ms | iters: 5 | obj: 9.110069e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 56.813 ms | iters: 5 | obj: 9.110069e-04 (min) | CPU: 25.77 MiB
│ │ ✓ | exa | time: 31.936 ms | iters: 5 | obj: 9.110069e-04 (min) | CPU: 396.61 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 50.665 ms | iters: 5 | obj: 9.110279e-04 (min) | CPU: 7.89 KiB
│ │ ✓ | adnlp | time: 115.637 ms | iters: 5 | obj: 9.110279e-04 (min) | CPU: 51.49 MiB
│ │ ✓ | exa | time: 62.855 ms | iters: 5 | obj: 9.110279e-04 (min) | CPU: 763.80 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 4.966 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 2.39 MiB
│ │ ✓ | adnlp | time: 11.718 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 6.78 MiB
│ │ ✓ | exa | time: 5.263 ms | iters: 5 | obj: 9.103362e-04 (min) | CPU: 2.71 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 13.258 ms | iters: 6 | obj: 9.109230e-04 (min) | CPU: 5.77 MiB
│ │ ✓ | adnlp | time: 33.058 ms | iters: 6 | obj: 9.109230e-04 (min) | CPU: 18.77 MiB
│ │ ✓ | exa | time: 14.544 ms | iters: 6 | obj: 9.109230e-04 (min) | CPU: 6.72 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 25.909 ms | iters: 6 | obj: 9.110069e-04 (min) | CPU: 11.60 MiB
│ │ ✓ | adnlp | time: 64.119 ms | iters: 6 | obj: 9.110069e-04 (min) | CPU: 37.36 MiB
│ │ ✓ | exa | time: 28.400 ms | iters: 6 | obj: 9.110069e-04 (min) | CPU: 13.26 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 94.339 ms | iters: 6 | obj: 9.110279e-04 (min) | CPU: 23.30 MiB
│ │ ✓ | adnlp | time: 169.348 ms | iters: 6 | obj: 9.110279e-04 (min) | CPU: 74.57 MiB
│ │ ✓ | exa | time: 136.648 ms | iters: 6 | obj: 9.110279e-04 (min) | CPU: 26.38 MiB
│ └─
└─
┌─ Problem: ducted_fan
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 578.442 ms | iters: 115 | obj: 1.831942e+03 (min) | CPU: 161.69 KiB
│ │ ✓ | adnlp | time: 612.395 ms | iters: 96 | obj: 1.831942e+03 (min) | CPU: 117.13 MiB
│ │ ✓ | exa | time: 344.597 ms | iters: 98 | obj: 1.831942e+03 (min) | CPU: 265.86 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.321 s | iters: 84 | obj: 1.831665e+03 (min) | CPU: 107.80 KiB
│ │ ✓ | adnlp | time: 2.276 s | iters: 124 | obj: 1.831665e+03 (min) | CPU: 377.79 MiB
│ │ ✓ | exa | time: 1.064 s | iters: 124 | obj: 1.831665e+03 (min) | CPU: 465.70 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 3.785 s | iters: 111 | obj: 1.831623e+03 (min) | CPU: 147.39 KiB
│ │ ✓ | adnlp | time: 25.835 s | iters: 553 | obj: 1.831623e+03 (min) | CPU: 3.37 GiB
│ │ ✓ | exa | time: 15.838 s | iters: 426 | obj: 1.831623e+03 (min) | CPU: 1.11 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 30.506 s | iters: 372 | obj: 1.831613e+03 (min) | CPU: 466.73 KiB
│ │ ✗ | adnlp | time: 93.489 s | iters: 1000 | obj: 1.831746e+03 (min) | CPU: 11.48 GiB
│ │ ✗ | exa | time: 83.529 s | iters: 1000 | obj: 1.832224e+03 (min) | CPU: 2.18 MiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 123.499 ms | iters: 41 | obj: 1.831942e+03 (min) | CPU: 23.30 MiB
│ │ ✓ | adnlp | time: 188.282 ms | iters: 41 | obj: 1.831942e+03 (min) | CPU: 61.09 MiB
│ │ ✓ | exa | time: 96.165 ms | iters: 41 | obj: 1.831942e+03 (min) | CPU: 9.51 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 683.232 ms | iters: 94 | obj: 1.831665e+03 (min) | CPU: 85.70 MiB
│ │ ✓ | adnlp | time: 1.664 s | iters: 157 | obj: 1.831665e+03 (min) | CPU: 642.04 MiB
│ │ ✓ | exa | time: 430.957 ms | iters: 94 | obj: 1.831665e+03 (min) | CPU: 51.82 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 1.398 s | iters: 82 | obj: 1.831623e+03 (min) | CPU: 141.86 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 1.150 s | iters: 73 | obj: 1.831623e+03 (min) | CPU: 64.41 MiB
│ │
│ │ N = 2000
│ │ ✗ | jump | time: 1.754 s | iters: 52 | obj: 1.242629e+02 (min) | CPU: 297.16 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✗ | exa | time: 1.811 s | iters: 66 | obj: 1.374860e+02 (min) | CPU: 210.48 MiB
│ └─
└─
┌─ Problem: electric_vehicle
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 4.330 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 7.073 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 2.71 MiB
│ │ ✓ | exa | time: 3.044 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 58.38 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 9.532 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 17.454 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 6.74 MiB
│ │ ✓ | exa | time: 6.285 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 107.44 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 18.265 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 33.019 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 13.44 MiB
│ │ ✓ | exa | time: 11.675 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 189.62 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 34.849 ms | iters: 4 | obj: 1.228581e+03 (min) | CPU: 6.66 KiB
│ │ ✓ | adnlp | time: 64.253 ms | iters: 4 | obj: 1.228581e+03 (min) | CPU: 26.84 MiB
│ │ ✓ | exa | time: 22.407 ms | iters: 4 | obj: 1.228581e+03 (min) | CPU: 353.69 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 5.672 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 5.62 MiB
│ │ ✓ | adnlp | time: 6.137 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 3.53 MiB
│ │ ✓ | exa | time: 2.202 ms | iters: 4 | obj: 1.228699e+03 (min) | CPU: 1.33 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 13.530 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 13.73 MiB
│ │ ✓ | adnlp | time: 15.888 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 8.66 MiB
│ │ ✓ | exa | time: 5.238 ms | iters: 4 | obj: 1.228599e+03 (min) | CPU: 3.14 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 26.084 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 28.14 MiB
│ │ ✓ | adnlp | time: 31.046 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 17.19 MiB
│ │ ✓ | exa | time: 10.046 ms | iters: 4 | obj: 1.228585e+03 (min) | CPU: 6.15 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 68.801 ms | iters: 4 | obj: 1.228581e+03 (min) | CPU: 56.87 MiB
│ │ ✓ | adnlp | time: 80.502 ms | iters: 4 | obj: 1.228581e+03 (min) | CPU: 34.27 MiB
│ │ ✓ | exa | time: 39.775 ms | iters: 4 | obj: 1.228581e+03 (min) | CPU: 12.17 MiB
│ └─
└─
┌─ Problem: glider
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 350.470 ms | iters: 78 | obj: -1.248896e+03 (min) | CPU: 98.25 KiB
│ │ ✓ | adnlp | time: 426.605 ms | iters: 78 | obj: -1.248896e+03 (min) | CPU: 76.78 MiB
│ │ ✓ | exa | time: 228.191 ms | iters: 78 | obj: -1.248896e+03 (min) | CPU: 268.72 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 28.096 s | iters: 68 | obj: -1.247978e+03 (min) | CPU: 88.16 KiB
│ │ ✓ | adnlp | time: 28.402 s | iters: 68 | obj: -1.247978e+03 (min) | CPU: 168.26 MiB
│ │ ✓ | exa | time: 22.931 s | iters: 68 | obj: -1.247978e+03 (min) | CPU: 370.61 KiB
│ │
│ │ N = 1000
│ │ ✗ | jump | time: 521.645 s | iters: 21 | obj: -1.058884e+03 (min) | CPU: 27.64 KiB
│ │ ✗ | adnlp | time: 523.806 s | iters: 21 | obj: -1.058885e+03 (min) | CPU: 108.56 MiB
│ │ ✗ | exa | time: 510.327 s | iters: 20 | obj: -1.058875e+03 (min) | CPU: 502.45 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 1.562 s | iters: 38 | obj: -1.247987e+03 (min) | CPU: 48.62 KiB
│ │ ✓ | adnlp | time: 1.813 s | iters: 38 | obj: -1.247987e+03 (min) | CPU: 378.92 MiB
│ │ ✓ | exa | time: 966.748 ms | iters: 38 | obj: -1.247987e+03 (min) | CPU: 888.20 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 414.842 ms | iters: 106 | obj: -1.248896e+03 (min) | CPU: 58.00 MiB
│ │ ✓ | adnlp | time: 463.597 ms | iters: 83 | obj: -1.248896e+03 (min) | CPU: 95.23 MiB
│ │ ✓ | exa | time: 169.078 ms | iters: 86 | obj: -1.248896e+03 (min) | CPU: 12.60 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.708 s | iters: 175 | obj: -1.247978e+03 (min) | CPU: 160.81 MiB
│ │ ✓ | adnlp | time: 2.357 s | iters: 210 | obj: -1.247978e+03 (min) | CPU: 568.66 MiB
│ │ ✓ | exa | time: 961.809 ms | iters: 194 | obj: -1.247978e+03 (min) | CPU: 52.99 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 1.934 s | iters: 97 | obj: -1.247985e+03 (min) | CPU: 285.80 MiB
│ │ ✓ | adnlp | time: 2.458 s | iters: 102 | obj: -1.247985e+03 (min) | CPU: 562.93 MiB
│ │ ✓ | exa | time: 1.457 s | iters: 150 | obj: -1.247985e+03 (min) | CPU: 84.72 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 2.742 s | iters: 58 | obj: -1.247987e+03 (min) | CPU: 536.37 MiB
│ │ ✓ | adnlp | time: 7.447 s | iters: 139 | obj: -1.247987e+03 (min) | CPU: 1.47 GiB
│ │ ✓ | exa | time: 2.123 s | iters: 86 | obj: -1.247987e+03 (min) | CPU: 117.35 MiB
│ └─
└─
┌─ Problem: insurance
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 270.431 ms | iters: 91 | obj: -2.058581e+00 (min) | CPU: 118.55 KiB
│ │ ✓ | adnlp | time: 436.605 ms | iters: 90 | obj: -2.058581e+00 (min) | CPU: 121.34 MiB
│ │ ✓ | exa | time: 199.002 ms | iters: 90 | obj: -2.058581e+00 (min) | CPU: 246.08 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 717.724 ms | iters: 101 | obj: -2.059214e+00 (min) | CPU: 127.14 KiB
│ │ ✓ | adnlp | time: 953.037 ms | iters: 87 | obj: -2.059208e+00 (min) | CPU: 283.31 MiB
│ │ ✓ | exa | time: 514.562 ms | iters: 97 | obj: -2.059214e+00 (min) | CPU: 429.19 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 1.628 s | iters: 119 | obj: -2.059511e+00 (min) | CPU: 150.61 KiB
│ │ ✓ | adnlp | time: 3.282 s | iters: 140 | obj: -2.059511e+00 (min) | CPU: 909.58 MiB
│ │ ✓ | exa | time: 1.932 s | iters: 149 | obj: -2.059511e+00 (min) | CPU: 785.94 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 5.674 s | iters: 216 | obj: -2.059700e+00 (min) | CPU: 275.09 KiB
│ │ ✓ | adnlp | time: 9.624 s | iters: 193 | obj: -2.059700e+00 (min) | CPU: 2.44 GiB
│ │ ✓ | exa | time: 5.242 s | iters: 223 | obj: -2.059700e+00 (min) | CPU: 1.43 MiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 313.166 ms | iters: 120 | obj: -2.058581e+00 (min) | CPU: 38.18 MiB
│ │ ✓ | adnlp | time: 485.208 ms | iters: 120 | obj: -2.058581e+00 (min) | CPU: 200.33 MiB
│ │ ✓ | exa | time: 208.163 ms | iters: 120 | obj: -2.058581e+00 (min) | CPU: 26.32 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.857 s | iters: 254 | obj: -2.059213e+00 (min) | CPU: 159.68 MiB
│ │ ✓ | adnlp | time: 4.108 s | iters: 363 | obj: -2.059213e+00 (min) | CPU: 1.31 GiB
│ │ ✓ | exa | time: 1.475 s | iters: 264 | obj: -2.059213e+00 (min) | CPU: 118.28 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 6.229 s | iters: 494 | obj: -2.059510e+00 (min) | CPU: 481.29 MiB
│ │ ✓ | adnlp | time: 15.193 s | iters: 635 | obj: -2.059510e+00 (min) | CPU: 4.52 GiB
│ │ ✓ | exa | time: 7.993 s | iters: 646 | obj: -2.059510e+00 (min) | CPU: 550.01 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 4.701 s | iters: 171 | obj: -2.059697e+00 (min) | CPU: 444.56 MiB
│ │ ✓ | adnlp | time: 8.748 s | iters: 171 | obj: -2.059697e+00 (min) | CPU: 2.56 GiB
│ │ ✓ | exa | time: 4.592 s | iters: 171 | obj: -2.059697e+00 (min) | CPU: 321.33 MiB
│ └─
└─
┌─ Problem: jackson
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 47.707 ms | iters: 42 | obj: -1.918613e-01 (min) | CPU: 55.06 KiB
│ │ ✓ | adnlp | time: 70.266 ms | iters: 42 | obj: -1.918613e-01 (min) | CPU: 10.80 MiB
│ │ ✓ | exa | time: 49.014 ms | iters: 42 | obj: -1.918613e-01 (min) | CPU: 124.73 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 147.754 ms | iters: 58 | obj: -1.918219e-01 (min) | CPU: 73.81 KiB
│ │ ✓ | adnlp | time: 245.760 ms | iters: 58 | obj: -1.918219e-01 (min) | CPU: 36.18 MiB
│ │ ✓ | exa | time: 157.634 ms | iters: 58 | obj: -1.918219e-01 (min) | CPU: 227.05 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 88.192 ms | iters: 21 | obj: -1.918162e-01 (min) | CPU: 27.64 KiB
│ │ ✓ | adnlp | time: 159.305 ms | iters: 21 | obj: -1.918162e-01 (min) | CPU: 27.46 MiB
│ │ ✓ | exa | time: 90.671 ms | iters: 21 | obj: -1.918162e-01 (min) | CPU: 333.11 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 144.711 ms | iters: 19 | obj: -1.918148e-01 (min) | CPU: 25.17 KiB
│ │ ✓ | adnlp | time: 294.715 ms | iters: 19 | obj: -1.918148e-01 (min) | CPU: 50.03 MiB
│ │ ✓ | exa | time: 153.214 ms | iters: 19 | obj: -1.918148e-01 (min) | CPU: 620.11 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 28.792 ms | iters: 40 | obj: -1.918610e-01 (min) | CPU: 6.94 MiB
│ │ ✓ | adnlp | time: 58.243 ms | iters: 40 | obj: -1.918610e-01 (min) | CPU: 15.86 MiB
│ │ ✓ | exa | time: 30.020 ms | iters: 40 | obj: -1.918610e-01 (min) | CPU: 6.74 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 31.314 ms | iters: 22 | obj: -1.918217e-01 (min) | CPU: 12.71 MiB
│ │ ✓ | adnlp | time: 69.667 ms | iters: 22 | obj: -1.918217e-01 (min) | CPU: 22.99 MiB
│ │ ✓ | exa | time: 31.027 ms | iters: 22 | obj: -1.918217e-01 (min) | CPU: 11.28 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 62.844 ms | iters: 23 | obj: -1.918159e-01 (min) | CPU: 25.89 MiB
│ │ ✓ | adnlp | time: 139.426 ms | iters: 23 | obj: -1.918159e-01 (min) | CPU: 47.41 MiB
│ │ ✓ | exa | time: 63.358 ms | iters: 23 | obj: -1.918159e-01 (min) | CPU: 22.83 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 160.354 ms | iters: 23 | obj: -1.918142e-01 (min) | CPU: 51.82 MiB
│ │ ✓ | adnlp | time: 330.711 ms | iters: 23 | obj: -1.918142e-01 (min) | CPU: 94.51 MiB
│ │ ✓ | exa | time: 180.301 ms | iters: 23 | obj: -1.918142e-01 (min) | CPU: 45.39 MiB
│ └─
└─
┌─ Problem: mountain_car
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 48.042 ms | iters: 41 | obj: 1.023976e+02 (min) | CPU: 52.33 KiB
│ │ ✓ | adnlp | time: 63.829 ms | iters: 41 | obj: 1.023976e+02 (min) | CPU: 10.43 MiB
│ │ ✓ | exa | time: 37.657 ms | iters: 41 | obj: 1.023976e+02 (min) | CPU: 100.95 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 168.079 ms | iters: 68 | obj: 1.023699e+02 (min) | CPU: 88.41 KiB
│ │ ✓ | adnlp | time: 233.596 ms | iters: 69 | obj: 1.023699e+02 (min) | CPU: 43.15 MiB
│ │ ✓ | exa | time: 129.106 ms | iters: 68 | obj: 1.023699e+02 (min) | CPU: 194.09 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 294.113 ms | iters: 64 | obj: 1.023682e+02 (min) | CPU: 80.72 KiB
│ │ ✓ | adnlp | time: 421.401 ms | iters: 64 | obj: 1.023682e+02 (min) | CPU: 78.76 MiB
│ │ ✓ | exa | time: 206.601 ms | iters: 62 | obj: 1.023682e+02 (min) | CPU: 291.36 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 902.533 ms | iters: 82 | obj: 1.023677e+02 (min) | CPU: 102.94 KiB
│ │ ✓ | adnlp | time: 1.225 s | iters: 83 | obj: 1.023677e+02 (min) | CPU: 202.50 MiB
│ │ ✓ | exa | time: 663.393 ms | iters: 82 | obj: 1.023677e+02 (min) | CPU: 522.92 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 41.682 ms | iters: 49 | obj: 1.023810e+02 (min) | CPU: 9.76 MiB
│ │ ✓ | adnlp | time: 64.030 ms | iters: 49 | obj: 1.023810e+02 (min) | CPU: 17.45 MiB
│ │ ✓ | exa | time: 31.210 ms | iters: 49 | obj: 1.023810e+02 (min) | CPU: 5.51 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 94.376 ms | iters: 51 | obj: 1.023699e+02 (min) | CPU: 23.86 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 66.295 ms | iters: 51 | obj: 1.023699e+02 (min) | CPU: 13.41 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 293.286 ms | iters: 74 | obj: 1.023682e+02 (min) | CPU: 59.75 MiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 200.854 ms | iters: 74 | obj: 1.023682e+02 (min) | CPU: 37.98 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 9.708 s | iters: 974 | obj: 1.023678e+02 (min) | CPU: 1.00 GiB
│ │ ✗ | adnlp | time: 12.763 s | iters: 1000 | obj: 1.030596e+02 (min) | CPU: 3.61 GiB
│ │ ✗ | exa | time: 6.954 s | iters: 1000 | obj: 1.145459e+02 (min) | CPU: 989.76 MiB
│ └─
└─
┌─ Problem: robbins
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 14.891 ms | iters: 19 | obj: 1.962626e+01 (min) | CPU: 12.16 KiB
│ │ ✓ | adnlp | time: 24.047 ms | iters: 19 | obj: 1.962626e+01 (min) | CPU: 3.50 MiB
│ │ ✓ | exa | time: 14.088 ms | iters: 19 | obj: 1.962626e+01 (min) | CPU: 95.61 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 32.547 ms | iters: 18 | obj: 1.946663e+01 (min) | CPU: 11.16 KiB
│ │ ✓ | adnlp | time: 55.188 ms | iters: 18 | obj: 1.946663e+01 (min) | CPU: 8.08 MiB
│ │ ✓ | exa | time: 31.745 ms | iters: 18 | obj: 1.946663e+01 (min) | CPU: 180.98 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 89.172 ms | iters: 27 | obj: 1.944019e+01 (min) | CPU: 15.66 KiB
│ │ ✓ | adnlp | time: 147.388 ms | iters: 27 | obj: 1.944019e+01 (min) | CPU: 23.33 MiB
│ │ ✓ | exa | time: 88.906 ms | iters: 27 | obj: 1.944019e+01 (min) | CPU: 334.70 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 198.687 ms | iters: 30 | obj: 1.943391e+01 (min) | CPU: 17.16 KiB
│ │ ✓ | adnlp | time: 322.854 ms | iters: 30 | obj: 1.943391e+01 (min) | CPU: 51.38 MiB
│ │ ✓ | exa | time: 206.006 ms | iters: 30 | obj: 1.943391e+01 (min) | CPU: 626.86 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 15.586 ms | iters: 34 | obj: 1.962626e+01 (min) | CPU: 2.81 MiB
│ │ ✓ | adnlp | time: 31.795 ms | iters: 34 | obj: 1.962626e+01 (min) | CPU: 8.26 MiB
│ │ ✓ | exa | time: 15.838 ms | iters: 34 | obj: 1.962626e+01 (min) | CPU: 2.65 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 33.164 ms | iters: 29 | obj: 1.946663e+01 (min) | CPU: 5.87 MiB
│ │ ✓ | adnlp | time: 68.920 ms | iters: 31 | obj: 1.946663e+01 (min) | CPU: 18.72 MiB
│ │ ✓ | exa | time: 33.499 ms | iters: 29 | obj: 1.946663e+01 (min) | CPU: 5.67 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 108.136 ms | iters: 50 | obj: 1.944019e+01 (min) | CPU: 16.03 MiB
│ │ ✓ | adnlp | time: 217.732 ms | iters: 50 | obj: 1.944019e+01 (min) | CPU: 56.11 MiB
│ │ ✓ | exa | time: 109.552 ms | iters: 50 | obj: 1.944019e+01 (min) | CPU: 15.45 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 239.620 ms | iters: 43 | obj: 1.943392e+01 (min) | CPU: 28.89 MiB
│ │ ✓ | adnlp | time: 444.274 ms | iters: 44 | obj: 1.943392e+01 (min) | CPU: 99.55 MiB
│ │ ✓ | exa | time: 265.859 ms | iters: 43 | obj: 1.943392e+01 (min) | CPU: 27.55 MiB
│ └─
└─
┌─ Problem: robot
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 60.660 ms | iters: 18 | obj: 9.141395e+00 (min) | CPU: 23.94 KiB
│ │ ✓ | adnlp | time: 90.254 ms | iters: 18 | obj: 9.141395e+00 (min) | CPU: 12.91 MiB
│ │ ✓ | exa | time: 42.862 ms | iters: 18 | obj: 9.141395e+00 (min) | CPU: 181.27 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 146.841 ms | iters: 17 | obj: 9.140991e+00 (min) | CPU: 22.70 KiB
│ │ ✓ | adnlp | time: 248.662 ms | iters: 17 | obj: 9.140991e+00 (min) | CPU: 30.39 MiB
│ │ ✓ | exa | time: 105.350 ms | iters: 17 | obj: 9.140991e+00 (min) | CPU: 369.86 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 328.863 ms | iters: 19 | obj: 9.140931e+00 (min) | CPU: 25.17 KiB
│ │ ✓ | adnlp | time: 537.366 ms | iters: 19 | obj: 9.140931e+00 (min) | CPU: 67.10 MiB
│ │ ✓ | exa | time: 286.265 ms | iters: 19 | obj: 9.140931e+00 (min) | CPU: 688.55 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 745.333 ms | iters: 21 | obj: 9.140917e+00 (min) | CPU: 27.64 KiB
│ │ ✓ | adnlp | time: 1.141 s | iters: 21 | obj: 9.140917e+00 (min) | CPU: 146.97 MiB
│ │ ✓ | exa | time: 651.360 ms | iters: 21 | obj: 9.140917e+00 (min) | CPU: 1.29 MiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 49.179 ms | iters: 16 | obj: 9.141397e+00 (min) | CPU: 20.27 MiB
│ │ ✓ | adnlp | time: 73.858 ms | iters: 16 | obj: 9.141397e+00 (min) | CPU: 16.98 MiB
│ │ ✓ | exa | time: 32.411 ms | iters: 16 | obj: 9.141397e+00 (min) | CPU: 6.61 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 181.836 ms | iters: 25 | obj: 9.140992e+00 (min) | CPU: 54.52 MiB
│ │ ✓ | adnlp | time: 307.383 ms | iters: 25 | obj: 9.140992e+00 (min) | CPU: 61.04 MiB
│ │ ✓ | exa | time: 126.383 ms | iters: 25 | obj: 9.140992e+00 (min) | CPU: 20.43 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 397.667 ms | iters: 23 | obj: 9.140939e+00 (min) | CPU: 108.51 MiB
│ │ ✓ | adnlp | time: 554.552 ms | iters: 23 | obj: 9.140939e+00 (min) | CPU: 114.69 MiB
│ │ ✓ | exa | time: 347.159 ms | iters: 23 | obj: 9.140939e+00 (min) | CPU: 39.43 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 1.007 s | iters: 30 | obj: 9.140922e+00 (min) | CPU: 230.41 MiB
│ │ ✓ | adnlp | time: 1.508 s | iters: 30 | obj: 9.140922e+00 (min) | CPU: 287.25 MiB
│ │ ✓ | exa | time: 919.122 ms | iters: 30 | obj: 9.140922e+00 (min) | CPU: 91.18 MiB
│ └─
└─
┌─ Problem: rocket
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 26.460 ms | iters: 18 | obj: -1.012836e+00 (min) | CPU: 23.94 KiB
│ │ ✓ | adnlp | time: 56.519 ms | iters: 18 | obj: -1.012836e+00 (min) | CPU: 16.91 MiB
│ │ ✓ | exa | time: 17.898 ms | iters: 18 | obj: -1.012836e+00 (min) | CPU: 101.02 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 74.181 ms | iters: 21 | obj: -1.012837e+00 (min) | CPU: 27.64 KiB
│ │ ✓ | adnlp | time: 156.945 ms | iters: 21 | obj: -1.012837e+00 (min) | CPU: 48.36 MiB
│ │ ✓ | exa | time: 48.284 ms | iters: 21 | obj: -1.012837e+00 (min) | CPU: 190.73 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 163.639 ms | iters: 24 | obj: -1.012837e+00 (min) | CPU: 31.34 KiB
│ │ ✓ | adnlp | time: 358.778 ms | iters: 24 | obj: -1.012837e+00 (min) | CPU: 109.19 MiB
│ │ ✓ | exa | time: 109.175 ms | iters: 24 | obj: -1.012837e+00 (min) | CPU: 338.45 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 325.086 ms | iters: 23 | obj: -1.012837e+00 (min) | CPU: 30.11 KiB
│ │ ✓ | adnlp | time: 723.662 ms | iters: 23 | obj: -1.012837e+00 (min) | CPU: 209.71 MiB
│ │ ✓ | exa | time: 250.037 ms | iters: 23 | obj: -1.012837e+00 (min) | CPU: 626.48 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 26.676 ms | iters: 21 | obj: -1.012835e+00 (min) | CPU: 12.96 MiB
│ │ ✓ | adnlp | time: 53.576 ms | iters: 21 | obj: -1.012835e+00 (min) | CPU: 22.84 MiB
│ │ ✓ | exa | time: 14.650 ms | iters: 21 | obj: -1.012835e+00 (min) | CPU: 4.41 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 67.872 ms | iters: 22 | obj: -1.012835e+00 (min) | CPU: 32.06 MiB
│ │ ✓ | adnlp | time: 169.798 ms | iters: 22 | obj: -1.012835e+00 (min) | CPU: 58.83 MiB
│ │ ✓ | exa | time: 38.202 ms | iters: 22 | obj: -1.012835e+00 (min) | CPU: 10.86 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 151.962 ms | iters: 24 | obj: -1.012836e+00 (min) | CPU: 65.45 MiB
│ │ ✓ | adnlp | time: 316.778 ms | iters: 24 | obj: -1.012836e+00 (min) | CPU: 126.65 MiB
│ │ ✓ | exa | time: 84.893 ms | iters: 24 | obj: -1.012836e+00 (min) | CPU: 22.40 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 290.673 ms | iters: 21 | obj: -1.012830e+00 (min) | CPU: 128.68 MiB
│ │ ✓ | adnlp | time: 585.030 ms | iters: 21 | obj: -1.012830e+00 (min) | CPU: 224.75 MiB
│ │ ✓ | exa | time: 192.521 ms | iters: 21 | obj: -1.012830e+00 (min) | CPU: 41.75 MiB
│ └─
└─
┌─ Problem: space_shuttle
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 906.398 ms | iters: 111 | obj: -3.853783e-01 (min) | CPU: 138.98 KiB
│ │ ✓ | adnlp | time: 1.114 s | iters: 101 | obj: -5.958694e-01 (min) | CPU: 172.82 MiB
│ │ ✓ | exa | time: 474.205 ms | iters: 101 | obj: -5.958694e-01 (min) | CPU: 309.17 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 2.297 s | iters: 115 | obj: -5.958750e-01 (min) | CPU: 143.67 KiB
│ │ ✓ | adnlp | time: 2.955 s | iters: 116 | obj: -5.958750e-01 (min) | CPU: 492.38 MiB
│ │ ✓ | exa | time: 1.314 s | iters: 116 | obj: -5.958750e-01 (min) | CPU: 498.08 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 3.337 s | iters: 73 | obj: -3.050197e-01 (min) | CPU: 95.56 KiB
│ │ ✓ | adnlp | time: 6.902 s | iters: 125 | obj: -5.958758e-01 (min) | CPU: 1.03 GiB
│ │ ✓ | exa | time: 4.487 s | iters: 127 | obj: -5.958758e-01 (min) | CPU: 798.48 KiB
│ │
│ │ N = 2000
│ │ ✗ | jump | time: 501.367 s | iters: 909 | obj: -8.229649e-03 (min) | CPU: 2.03 MiB
│ │ ✓ | adnlp | time: 10.295 s | iters: 94 | obj: -5.958760e-01 (min) | CPU: 1.56 GiB
│ │ ✓ | exa | time: 13.576 s | iters: 145 | obj: -5.958760e-01 (min) | CPU: 1.36 MiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 766.202 ms | iters: 113 | obj: -3.854923e-01 (min) | CPU: 101.75 MiB
│ │ ✓ | adnlp | time: 2.132 s | iters: 205 | obj: -5.958694e-01 (min) | CPU: 409.08 MiB
│ │ ✓ | exa | time: 663.862 ms | iters: 208 | obj: -5.958694e-01 (min) | CPU: 62.50 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 1.281 s | iters: 77 | obj: -5.958750e-01 (min) | CPU: 230.97 MiB
│ │ ✓ | adnlp | time: 4.158 s | iters: 166 | obj: -5.958750e-01 (min) | CPU: 847.91 MiB
│ │ ✓ | exa | time: 1.361 s | iters: 166 | obj: -5.958750e-01 (min) | CPU: 123.22 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 32.575 s | iters: 480 | obj: -3.050197e-01 (min) | CPU: 1.24 GiB
│ │ ✓ | adnlp | time: 5.133 s | iters: 96 | obj: -5.958758e-01 (min) | CPU: 985.88 MiB
│ │ ✓ | exa | time: 2.069 s | iters: 95 | obj: -5.958758e-01 (min) | CPU: 159.66 MiB
│ │
│ │ N = 2000
│ │ ✗ | jump | time: 73.980 s | iters: 537 | obj: -3.343345e-01 (min) | CPU: 3.02 GiB
│ │ ✗ | adnlp : ERROR: DomainError(Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 7.602 s | iters: 161 | obj: -5.958760e-01 (min) | CPU: 432.80 MiB
│ └─
└─
┌─ Problem: steering
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 15.237 ms | iters: 8 | obj: 5.545770e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 19.208 ms | iters: 8 | obj: 5.545770e-01 (min) | CPU: 4.89 MiB
│ │ ✓ | exa | time: 11.664 ms | iters: 8 | obj: 5.545770e-01 (min) | CPU: 102.95 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 36.918 ms | iters: 8 | obj: 5.545719e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 46.355 ms | iters: 8 | obj: 5.545719e-01 (min) | CPU: 12.13 MiB
│ │ ✓ | exa | time: 29.995 ms | iters: 8 | obj: 5.545719e-01 (min) | CPU: 213.33 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 83.419 ms | iters: 8 | obj: 5.545711e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 103.758 ms | iters: 8 | obj: 5.545711e-01 (min) | CPU: 24.19 MiB
│ │ ✓ | exa | time: 69.884 ms | iters: 8 | obj: 5.545711e-01 (min) | CPU: 396.70 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 180.225 ms | iters: 8 | obj: 5.545709e-01 (min) | CPU: 11.59 KiB
│ │ ✓ | adnlp | time: 223.082 ms | iters: 8 | obj: 5.545709e-01 (min) | CPU: 48.33 MiB
│ │ ✓ | exa | time: 173.779 ms | iters: 8 | obj: 5.545709e-01 (min) | CPU: 763.89 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 18.066 ms | iters: 11 | obj: 5.545770e-01 (min) | CPU: 8.77 MiB
│ │ ✓ | adnlp | time: 20.788 ms | iters: 11 | obj: 5.545770e-01 (min) | CPU: 8.31 MiB
│ │ ✓ | exa | time: 10.987 ms | iters: 11 | obj: 5.545770e-01 (min) | CPU: 2.35 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 51.568 ms | iters: 13 | obj: 5.545719e-01 (min) | CPU: 22.17 MiB
│ │ ✓ | adnlp | time: 59.853 ms | iters: 13 | obj: 5.545719e-01 (min) | CPU: 23.19 MiB
│ │ ✓ | exa | time: 32.416 ms | iters: 13 | obj: 5.545719e-01 (min) | CPU: 5.89 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 113.552 ms | iters: 14 | obj: 5.545711e-01 (min) | CPU: 45.15 MiB
│ │ ✗ | adnlp : ERROR: DomainError(-Inf, "sincos(x) is only defined for finite x.")
│ │ ✓ | exa | time: 75.135 ms | iters: 14 | obj: 5.545711e-01 (min) | CPU: 11.87 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 275.347 ms | iters: 14 | obj: 5.545709e-01 (min) | CPU: 90.96 MiB
│ │ ✓ | adnlp | time: 312.391 ms | iters: 14 | obj: 5.545709e-01 (min) | CPU: 97.52 MiB
│ │ ✓ | exa | time: 212.689 ms | iters: 14 | obj: 5.545709e-01 (min) | CPU: 23.54 MiB
│ └─
└─
┌─ Problem: vanderpol
│
├──┬ Solver: ipopt, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 3.290 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 5.096 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 955.09 KiB
│ │ ✓ | exa | time: 2.467 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 53.50 KiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 6.974 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 11.137 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 2.30 MiB
│ │ ✓ | exa | time: 5.023 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 102.56 KiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 13.179 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 21.324 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 4.58 MiB
│ │ ✓ | exa | time: 9.390 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 184.75 KiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 25.386 ms | iters: 3 | obj: 1.047807e+00 (min) | CPU: 5.42 KiB
│ │ ✓ | adnlp | time: 42.085 ms | iters: 3 | obj: 1.047807e+00 (min) | CPU: 9.13 MiB
│ │ ✓ | exa | time: 18.126 ms | iters: 3 | obj: 1.047807e+00 (min) | CPU: 348.81 KiB
│ └─
│
├──┬ Solver: madnlp, Discretization: trapeze
│ │
│ │ N = 200
│ │ ✓ | jump | time: 4.764 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 5.04 MiB
│ │ ✓ | adnlp | time: 4.859 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 1.69 MiB
│ │ ✓ | exa | time: 1.851 ms | iters: 3 | obj: 1.047836e+00 (min) | CPU: 1.33 MiB
│ │
│ │ N = 500
│ │ ✓ | jump | time: 10.769 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 12.23 MiB
│ │ ✓ | adnlp | time: 11.182 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 4.08 MiB
│ │ ✓ | exa | time: 4.385 ms | iters: 3 | obj: 1.047812e+00 (min) | CPU: 3.15 MiB
│ │
│ │ N = 1000
│ │ ✓ | jump | time: 21.722 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 24.67 MiB
│ │ ✓ | adnlp | time: 22.482 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 8.06 MiB
│ │ ✓ | exa | time: 8.462 ms | iters: 3 | obj: 1.047808e+00 (min) | CPU: 6.19 MiB
│ │
│ │ N = 2000
│ │ ✓ | jump | time: 56.214 ms | iters: 3 | obj: 1.047807e+00 (min) | CPU: 49.91 MiB
│ │ ✓ | adnlp | time: 56.057 ms | iters: 3 | obj: 1.047807e+00 (min) | CPU: 16.02 MiB
│ │ ✓ | exa | time: 35.517 ms | iters: 3 | obj: 1.047807e+00 (min) | CPU: 12.27 MiB
│ └─
└─